481604175360 has 2400 divisors, whose sum is σ = 2275864335360. Its totient is φ = 96148684800.

The previous prime is 481604175359. The next prime is 481604175413. The reversal of 481604175360 is 63571406184.

481604175360 is a `hidden beast` number, since 4 + 8 + 1 + 604 + 1 + 7 + 5 + 36 + 0 = 666.

It is a super-2 number, since 2×481604175360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3464778171 + ... + 3464778309.

Almost surely, 2^481604175360 is an apocalyptic number.

481604175360 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 481604175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137932167680).

481604175360 is an abundant number, since it is smaller than the sum of its proper divisors (1794260160000).

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

481604175360 is a wasteful number, since it uses less digits than its factorization.

481604175360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 481604175360 in words is "four hundred eighty-one billion, six hundred four million, one hundred seventy-five thousand, three hundred sixty".