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480794454 = 237741383
BaseRepresentation
bin11100101010000…
…101011101010110
31020111200220000000
4130222011131112
51441040410304
6115413032130
714625454050
oct3452053526
91214626000
10480794454
11227439a98
12115025646
13787bc47a
1447bd68d0
152c322939
hex1ca85756

480794454 has 128 divisors (see below), whose sum is σ = 1269596160. Its totient is φ = 133669440.

The previous prime is 480794453. The next prime is 480794471. The reversal of 480794454 is 454497084.

It is a super-3 number, since 3×4807944543 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480794453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1255147 + ... + 1255529.

It is an arithmetic number, because the mean of its divisors is an integer number (9918720).

Almost surely, 2480794454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480794454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634798080).

480794454 is an abundant number, since it is smaller than the sum of its proper divisors (788801706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480794454 is an equidigital number, since it uses as much as digits as its factorization.

480794454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 480794454 is about 21927.0256532891. The cubic root of 480794454 is about 783.4052598911.

The spelling of 480794454 in words is "four hundred eighty million, seven hundred ninety-four thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 81 82 123 126 162 189 243 246 287 369 378 383 486 567 574 729 738 766 861 1107 1134 1149 1458 1701 1722 2187 2214 2298 2583 2681 3321 3402 3447 4374 5103 5166 5362 6642 6894 7749 8043 9963 10206 10341 15309 15498 15703 16086 19926 20682 23247 24129 29889 30618 31023 31406 46494 47109 48258 59778 62046 69741 72387 89667 93069 94218 109921 139482 141327 144774 179334 186138 209223 217161 219842 279207 282654 329763 418446 423981 434322 558414 627669 651483 659526 837621 847962 989289 1255338 1271943 1302966 1675242 1954449 1978578 2543886 2967867 3815829 3908898 5863347 5935734 7631658 8903601 11447487 11726694 17807202 22894974 26710803 34342461 53421606 68684922 80132409 160264818 240397227 480794454