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481396320 = 253251093067
BaseRepresentation
bin11100101100011…
…000011001100000
31020112211110121100
4130230120121200
51441214140240
6115433554400
714633541546
oct3454303140
91215743540
10481396320
112278101a9
12115275a00
13789703c2
1447d11d96
152c3e0e30
hex1cb18660

481396320 has 144 divisors (see below), whose sum is σ = 1658376720. Its totient is φ = 127153152.

The previous prime is 481396313. The next prime is 481396343. The reversal of 481396320 is 23693184.

481396320 is a `hidden beast` number, since 4 + 8 + 13 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155427 + ... + 158493.

It is an arithmetic number, because the mean of its divisors is an integer number (11516505).

Almost surely, 2481396320 is an apocalyptic number.

481396320 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 481396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829188360).

481396320 is an abundant number, since it is smaller than the sum of its proper divisors (1176980400).

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

481396320 is a wasteful number, since it uses less digits than its factorization.

481396320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 481396320 is about 21940.7456573381. The cubic root of 481396320 is about 783.7320165589.

The spelling of 481396320 in words is "four hundred eighty-one million, three hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 109 120 144 160 180 218 240 288 327 360 436 480 545 654 720 872 981 1090 1308 1440 1635 1744 1962 2180 2616 3067 3270 3488 3924 4360 4905 5232 6134 6540 7848 8720 9201 9810 10464 12268 13080 15335 15696 17440 18402 19620 24536 26160 27603 30670 31392 36804 39240 46005 49072 52320 55206 61340 73608 78480 92010 98144 110412 122680 138015 147216 156960 184020 220824 245360 276030 294432 334303 368040 441648 490720 552060 668606 736080 883296 1002909 1104120 1337212 1472160 1671515 2005818 2208240 2674424 3008727 3343030 4011636 4416480 5014545 5348848 6017454 6686060 8023272 10029090 10697696 12034908 13372120 15043635 16046544 20058180 24069816 26744240 30087270 32093088 40116360 48139632 53488480 60174540 80232720 96279264 120349080 160465440 240698160 481396320