474592800960 has 168 divisors, whose sum is σ = 1632662937360. Its totient is φ = 126537811968.

The previous prime is 474592800931. The next prime is 474592801021. The reversal of 474592800960 is 69008295474.

474592800960 is a `hidden beast` number, since 47 + 4 + 592 + 8 + 0 + 0 + 9 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 474592800897 and 474592800906.

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, 29192194 + ... + 29208446.

It is an arithmetic number, because the mean of its divisors is an integer number (9718231770).

Almost surely, 2^474592800960 is an apocalyptic number.

474592800960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

474592800960 is an abundant number, since it is smaller than the sum of its proper divisors (1158070136400).

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

474592800960 is a wasteful number, since it uses less digits than its factorization.

474592800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26415 (or 26402 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 474592800960 in words is "four hundred seventy-four billion, five hundred ninety-two million, eight hundred thousand, nine hundred sixty".