315663264 has 384 divisors, whose sum is σ = 1151539200. Its totient is φ = 82114560.

The previous prime is 315663263. The next prime is 315663323. The reversal of 315663264 is 462366513.

315663264 is a `hidden beast` number, since 3 + 1 + 566 + 32 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315663263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4711359 + ... + 4711425.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 2^315663264 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 315663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575769600).

315663264 is an abundant number, since it is smaller than the sum of its proper divisors (835875936).

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

315663264 is a wasteful number, since it uses less digits than its factorization.

315663264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 315663264 is about 17766.9148700611. The cubic root of 315663264 is about 680.8864333512.

It can be divided in two parts, 31 and 5663264, that added together give a triangular number (5663295 = T₃₃₆₅).

The spelling of 315663264 in words is "three hundred fifteen million, six hundred sixty-three thousand, two hundred sixty-four".