460879803360 has 144 divisors (see below), whose sum is σ = 1641132982944. Its totient is φ = 117557738496.

The previous prime is 460879803359. The next prime is 460879803389. The reversal of 460879803360 is 63308978064.

460879803360 is a `hidden beast` number, since 460 + 8 + 7 + 98 + 0 + 33 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 460879803297 and 460879803306.

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, 6924607 + ... + 6990846.

It is an arithmetic number, because the mean of its divisors is an integer number (11396756826).

Almost surely, 2^460879803360 is an apocalyptic number.

460879803360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460879803360 is an abundant number, since it is smaller than the sum of its proper divisors (1180253179584).

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

460879803360 is a wasteful number, since it uses less digits than its factorization.

460879803360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13915497 (or 13915486 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 460879803360 in words is "four hundred sixty billion, eight hundred seventy-nine million, eight hundred three thousand, three hundred sixty".