460801913600 has 108 divisors (see below), whose sum is σ = 1303493539824. Its totient is φ = 157989212160.

The previous prime is 460801913581. The next prime is 460801913603. The reversal of 460801913600 is 6319108064.

It is not an unprimeable number, because it can be changed into a prime (460801913603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5098079 + ... + 5187678.

It is an arithmetic number, because the mean of its divisors is an integer number (12069384628).

Almost surely, 2^460801913600 is an apocalyptic number.

460801913600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460801913600 is an abundant number, since it is smaller than the sum of its proper divisors (842691626224).

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

460801913600 is a wasteful number, since it uses less digits than its factorization.

460801913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285790 (or 10285771 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 460801913600 in words is "four hundred sixty billion, eight hundred one million, nine hundred thirteen thousand, six hundred".