460624992 has 48 divisors (see below), whose sum is σ = 1210245120. Its totient is φ = 153401472.

The previous prime is 460624991. The next prime is 460625021. The reversal of 460624992 is 299426064.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460624991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204609 + ... + 206847.

It is an arithmetic number, because the mean of its divisors is an integer number (25213440).

Almost surely, 2^460624992 is an apocalyptic number.

It is an amenable number.

460624992 is an abundant number, since it is smaller than the sum of its proper divisors (749620128).

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

460624992 is a wasteful number, since it uses less digits than its factorization.

460624992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 460624992 is about 21462.1758449604. The cubic root of 460624992 is about 772.2937126835.

The spelling of 460624992 in words is "four hundred sixty million, six hundred twenty-four thousand, nine hundred ninety-two".