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481401360 = 243351120261
BaseRepresentation
bin11100101100011…
…001101000010000
31020112211201112000
4130230121220100
51441214320420
6115434034000
714633562336
oct3454315020
91215751460
10481401360
11227813a70
12115278900
137897279b
1447d13b56
152c3e2690
hex1cb19a10

481401360 has 160 divisors (see below), whose sum is σ = 1808991360. Its totient is φ = 116697600.

The previous prime is 481401343. The next prime is 481401367. The reversal of 481401360 is 63104184.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (481401367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13630 + ... + 33890.

It is an arithmetic number, because the mean of its divisors is an integer number (11306196).

Almost surely, 2481401360 is an apocalyptic number.

481401360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481401360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904495680).

481401360 is an abundant number, since it is smaller than the sum of its proper divisors (1327590000).

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

481401360 is a wasteful number, since it uses less digits than its factorization.

481401360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20294 (or 20282 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 481401360 is about 21940.8605118395. The cubic root of 481401360 is about 783.7347516550.

The spelling of 481401360 in words is "four hundred eighty-one million, four hundred one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 20261 23760 40522 60783 81044 101305 121566 162088 182349 202610 222871 243132 303915 324176 364698 405220 445742 486264 547047 607830 668613 729396 810440 891484 911745 972528 1094094 1114355 1215660 1337226 1458792 1620880 1782968 1823490 2005839 2188188 2228710 2431320 2674452 2735235 2917584 3343065 3565936 3646980 4011678 4376376 4457420 4862640 5348904 5470470 6017517 6686130 7293960 8023356 8752752 8914840 10029195 10697808 10940940 12035034 13372260 14587920 16046712 17829680 20058390 21881880 24070068 26744520 30087585 32093424 40116780 43763760 48140136 53489040 60175170 80233560 96280272 120350340 160467120 240700680 481401360