460864320 has 112 divisors (see below), whose sum is σ = 1672303488. Its totient is φ = 105338880.

The previous prime is 460864303. The next prime is 460864351. The reversal of 460864320 is 23468064.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27571 + ... + 41010.

Almost surely, 2^460864320 is an apocalyptic number.

460864320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460864320 is an abundant number, since it is smaller than the sum of its proper divisors (1211439168).

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

460864320 is a wasteful number, since it uses less digits than its factorization.

460864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68608 (or 68598 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 460864320 is about 21467.7506972668. The cubic root of 460864320 is about 772.4274436730.

The spelling of 460864320 in words is "four hundred sixty million, eight hundred sixty-four thousand, three hundred twenty".