460865160 has 128 divisors (see below), whose sum is σ = 1755705600. Its totient is φ = 105338880.

The previous prime is 460865143. The next prime is 460865177. The reversal of 460865160 is 61568064.

460865160 is a `hidden beast` number, since 4 + 60 + 86 + 516 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (460865143) and next prime (460865177).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22921 + ... + 38040.

It is an arithmetic number, because the mean of its divisors is an integer number (13716450).

Almost surely, 2^460865160 is an apocalyptic number.

460865160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460865160 is an abundant number, since it is smaller than the sum of its proper divisors (1294840440).

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

460865160 is a wasteful number, since it uses less digits than its factorization.

460865160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60988 (or 60978 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 460865160 is about 21467.7702614873. The cubic root of 460865160 is about 772.4279129641.

The spelling of 460865160 in words is "four hundred sixty million, eight hundred sixty-five thousand, one hundred sixty".