315638460 has 36 divisors (see below), whose sum is σ = 957437208. Its totient is φ = 84170208.

The previous prime is 315638443. The next prime is 315638483. The reversal of 315638460 is 64836513.

315638460 is a `hidden beast` number, since 3 + 15 + 638 + 4 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 876594 + ... + 876953.

It is an arithmetic number, because the mean of its divisors is an integer number (26595478).

Almost surely, 2^315638460 is an apocalyptic number.

315638460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315638460 is an abundant number, since it is smaller than the sum of its proper divisors (641798748).

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

315638460 is a wasteful number, since it uses less digits than its factorization.

315638460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753562 (or 1753557 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 315638460 is about 17766.2168173193. The cubic root of 315638460 is about 680.8685987878.

It can be divided in two parts, 3156 and 38460, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 315638460 in words is "three hundred fifteen million, six hundred thirty-eight thousand, four hundred sixty".