460379168 has 18 divisors (see below), whose sum is σ = 906610509. Its totient is φ = 230128896.

The previous prime is 460379149. The next prime is 460379173. The reversal of 460379168 is 861973064.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 407555344 + 52823824 = 20188^2 + 7268^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15172.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 119480 + ... + 123272.

Almost surely, 2^460379168 is an apocalyptic number.

It is an amenable number.

460379168 is a deficient number, since it is larger than the sum of its proper divisors (446231341).

460379168 is an frugal number, since it uses more digits than its factorization.

460379168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7596 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 460379168 is about 21456.4481683246. The cubic root of 460379168 is about 772.1563036448.

The spelling of 460379168 in words is "four hundred sixty million, three hundred seventy-nine thousand, one hundred sixty-eight".