460424064 has 64 divisors (see below), whose sum is σ = 1225236240. Its totient is φ = 153194496.

The previous prime is 460424053. The next prime is 460424071.

460424064 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419164 + ... + 420260.

Almost surely, 2^460424064 is an apocalyptic number.

It is an amenable number.

460424064 is an abundant number, since it is smaller than the sum of its proper divisors (764812176).

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

460424064 is a wasteful number, since it uses less digits than its factorization.

460424064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 460424064 is about 21457.4943551198. The cubic root of 460424064 is about 772.1814029579.

The spelling of 460424064 in words is "four hundred sixty million, four hundred twenty-four thousand, sixty-four".