315100864 has 112 divisors (see below), whose sum is σ = 732820480. Its totient is φ = 133125120.

The previous prime is 315100817. The next prime is 315100889. The reversal of 315100864 is 468001513.

315100864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489727 + ... + 490369.

It is an arithmetic number, because the mean of its divisors is an integer number (6543040).

Almost surely, 2^315100864 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 315100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366410240).

315100864 is an abundant number, since it is smaller than the sum of its proper divisors (417719616).

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

315100864 is a wasteful number, since it uses less digits than its factorization.

315100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 315100864 is about 17751.0806431609. The cubic root of 315100864 is about 680.4818269085.

The spelling of 315100864 in words is "three hundred fifteen million, one hundred thousand, eight hundred sixty-four".