462890624 has 32 divisors (see below), whose sum is σ = 1053904800. Its totient is φ = 198381312.

The previous prime is 462890581. The next prime is 462890633. The reversal of 462890624 is 426098264.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 257414 + ... + 259205.

It is an arithmetic number, because the mean of its divisors is an integer number (32934525).

Almost surely, 2^462890624 is an apocalyptic number.

It is an amenable number.

462890624 is an abundant number, since it is smaller than the sum of its proper divisors (591014176).

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

462890624 is an equidigital number, since it uses as much as digits as its factorization.

462890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516640 (or 516628 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 462890624 is about 21514.8930743334. The cubic root of 462890624 is about 773.5578447100.

The spelling of 462890624 in words is "four hundred sixty-two million, eight hundred ninety thousand, six hundred twenty-four".