460676160 has 280 divisors, whose sum is σ = 1873544640. Its totient is φ = 105255936.

The previous prime is 460676141. The next prime is 460676171. The reversal of 460676160 is 61676064.

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 180171 + ... + 182709.

Almost surely, 2^460676160 is an apocalyptic number.

460676160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936772320).

460676160 is an abundant number, since it is smaller than the sum of its proper divisors (1412868480).

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

460676160 is a wasteful number, since it uses less digits than its factorization.

460676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 460676160 is about 21463.3678624768. The cubic root of 460676160 is about 772.3223080791.

The spelling of 460676160 in words is "four hundred sixty million, six hundred seventy-six thousand, one hundred sixty".