460624896 has 132 divisors (see below), whose sum is σ = 1342897504. Its totient is φ = 152064000.

The previous prime is 460624891. The next prime is 460624903. The reversal of 460624896 is 698426064.

460624896 is a `hidden beast` number, since 460 + 62 + 48 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460624891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1391451 + ... + 1391781.

Almost surely, 2^460624896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460624896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671448752).

460624896 is an abundant number, since it is smaller than the sum of its proper divisors (882272608).

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

460624896 is a wasteful number, since it uses less digits than its factorization.

460624896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 460624896 is about 21462.1736084675. The cubic root of 460624896 is about 772.2936590317.

The spelling of 460624896 in words is "four hundred sixty million, six hundred twenty-four thousand, eight hundred ninety-six".