460976688 has 60 divisors (see below), whose sum is σ = 1305671640. Its totient is φ = 151803648.

The previous prime is 460976687. The next prime is 460976693. The reversal of 460976688 is 886679064.

It is not an unprimeable number, because it can be changed into a prime (460976687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7333 + ... + 31236.

It is an arithmetic number, because the mean of its divisors is an integer number (21761194).

Almost surely, 2^460976688 is an apocalyptic number.

460976688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

460976688 is an abundant number, since it is smaller than the sum of its proper divisors (844694952).

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

460976688 is a wasteful number, since it uses less digits than its factorization.

460976688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38666 (or 38657 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 460976688 is about 21470.3676726785. The cubic root of 460976688 is about 772.4902163590.

The spelling of 460976688 in words is "four hundred sixty million, nine hundred seventy-six thousand, six hundred eighty-eight".