315315320 has 64 divisors (see below), whose sum is σ = 753494400. Its totient is φ = 118343680.

The previous prime is 315315271. The next prime is 315315323. The reversal of 315315320 is 23513513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315315323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345665 + ... + 346575.

It is an arithmetic number, because the mean of its divisors is an integer number (11773350).

Almost surely, 2^315315320 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 315315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376747200).

315315320 is an abundant number, since it is smaller than the sum of its proper divisors (438179080).

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

315315320 is a wasteful number, since it uses less digits than its factorization.

315315320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 315315320 is about 17757.1202620245. The cubic root of 315315320 is about 680.6361693564.

Adding to 315315320 its reverse (23513513), we get a palindrome (338828833).

The spelling of 315315320 in words is "three hundred fifteen million, three hundred fifteen thousand, three hundred twenty".