315590464 has 112 divisors (see below), whose sum is σ = 747450880. Its totient is φ = 129392640.

The previous prime is 315590423. The next prime is 315590467. The reversal of 315590464 is 464095513.

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

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 315590464 = 304³ + 660³ = 408³ + 628³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315590467) 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 15 ways as a sum of consecutive naturals, for example, 1309384 + ... + 1309624.

Almost surely, 2^315590464 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 315590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373725440).

315590464 is an abundant number, since it is smaller than the sum of its proper divisors (431860416).

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

315590464 is a wasteful number, since it uses less digits than its factorization.

315590464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 315590464 is about 17764.8660000575. The cubic root of 315590464 is about 680.8340860673.

The spelling of 315590464 in words is "three hundred fifteen million, five hundred ninety thousand, four hundred sixty-four".