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Saint-Exupery numbers
A number  $n$  is called Saint-Exupery number if it is the product of the three sides of Pythagorean triangle.

For example, 60 is a Saint-Exupery number, because 60=3⋅4⋅5 and 32 + 42 = 52.

It is an open problem to determine if there are two different Pythagorean triangles which have the same product of the sides.

The first Saint-Exupery numbers are 60, 480, 780, 1620, 2040, 3840, 4200, 6240, 7500, 12180, 12960, 14760, 15540, 16320, 20580 more terms

Pictorial representation of remainders (mod 2, 3, ...,11) frequency. For a table of values and more details click here
remainders of Saint-Exupery numbers

A graph displaying how many Saint-Exupery numbers are multiples of the primes p from 2 to 71. In black the ideal line 1/p.
divisibility of Saint-Exupery numbers
Useful links OEIS, Sequence A057096
Diophante.fr A467. Le problème du pharaon (A problem by Antoine de Saint Exupéry)
Saint-Exupery numbers can also be... (you may click on names or numbers and on + to get more values)

ABA 202500 1620000 9447840 38896200 103680000 + 8138191680000 aban 60 480 780 60000000 255000000 + 994560000000 abundant 60 480 780 1620 2040 + 49970760 Achilles 1620000 5467500 25312500 38896200 43740000 + 49914606307500 amenable 60 480 780 1620 2040 + 997350120 apocalyptic 3840 4200 7500 12180 12960 + 21060 arithmetic 60 480 780 4200 6240 + 9903180 binomial 780 497640 25743900 286097760 130459630080 compositorial 12541132800 congruent 60 480 1620 2040 3840 + 9903180 constructible 60 480 2040 3840 16320 + 281470681743360 Cunningham 6240 192720 49970760 157728480 205951200 d-powerful 267540 dig.balanced 14760 20580 30720 33600 55080 + 199977120 double fact. 3840 3715891200 droll 260717936640 494130954240 6801567252480 251909898240000 Duffinian 202500 eban 60 2040 60000 2040000 60000000 + 60000000000000 economical 3840 12960 30720 43740 60000 + 19710540 equidigital 3840 12960 30720 43740 60000 + 19710540 evil 60 480 780 2040 3840 + 994882500 Friedman 12960 103680 245760 267540 349920 + 937500 frugal 103680 245760 349920 480000 937500 + 983223840 gapful 480 1620 2040 3840 4200 + 99997662240 happy 12180 79860 118080 120120 131820 + 9903180 Harshad 60 480 780 1620 2040 + 9999974400 heptagonal 944640 2075717340 hexagonal 780 25743900 highly composite 60 hoax 55080 419580 440640 1265880 1463340 + 55080000 iban 2040 4200 43740 120120 124320 idoneal 60 inconsummate 7500 16320 40260 92820 103680 + 937500 interprime 60 780 1620 3840 12180 + 98672640 Jordan-Polya 480 3840 30720 103680 245760 + 974098582732800 junction 16320 30720 65520 120120 124320 + 98672640 katadrome 60 modest 52005720 240003960 1920031680 mountain 480 780 1620 3840 12960 + 234796320 nialpdrome 60 4200 7500 60000 65520 + 999999999744000 nonagonal 4200 O'Halloran 60 oban 60 780 odious 1620 7500 12960 14760 20580 + 997350120 pandigital 20580 30720 33600 3243240 76878420 + 8439576120 pernicious 1620 7500 12960 14760 20580 + 9903180 persistent 3725948160 25719663840 61583799420 power 202500 12960000 147622500 311169600 829440000 + 49438476562500 powerful 202500 1620000 5467500 12960000 25312500 + 998557832475000 practical 60 480 780 1620 2040 + 9982500 pronic 17112695040 3084099701760 pseudoperfect 60 480 780 1620 2040 + 994560 repunit 13709280 self 97440 131820 245760 267540 595140 + 989475960 Smith 8696160 9982500 13618860 27391980 28697760 + 87567480 square 202500 12960000 147622500 311169600 829440000 + 961896108802500 super Niven 60 480 2040 4200 6240 + 40260000000 super-d 33600 1054560 1063860 1075620 1087020 + 9903180 superabundant 60 tau 60 480 1620 6240 7500 + 994882500 taxicab 3595213440 28761707520 97070762880 230093660160 265769955360 + 987335490960000 tetrahedral 497640 130459630080 192805230220200 triangular 780 25743900 uban 60 60000000 2040000000 15015000000 21060000000 + 83086080000000 Ulam 7500 14760 65520 92820 354960 + 9903180 unprimeable 2040 12180 16320 20580 40260 + 9982500 untouchable 6240 15540 30720 40260 79860 + 960960 vampire 4580802720 wasteful 60 480 780 1620 2040 + 9982500 Zumkeller 60 480 780 1620 2040 + 97500 zygodrome 555660000 555660000000 554444445555000 555660000000000