315225664 has 56 divisors (see below), whose sum is σ = 677062400. Its totient is φ = 144751104.

The previous prime is 315225641. The next prime is 315225667. The reversal of 315225664 is 466522513.

It is not an unprimeable number, because it can be changed into a prime (315225667) 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 7 ways as a sum of consecutive naturals, for example, 184687 + ... + 186385.

It is an arithmetic number, because the mean of its divisors is an integer number (12090400).

Almost surely, 2^315225664 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 315225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338531200).

315225664 is an abundant number, since it is smaller than the sum of its proper divisors (361836736).

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

315225664 is a wasteful number, since it uses less digits than its factorization.

315225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1937 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 315225664 is about 17754.5955741042. The cubic root of 315225664 is about 680.5716530905.

The spelling of 315225664 in words is "three hundred fifteen million, two hundred twenty-five thousand, six hundred sixty-four".