315764256 has 96 divisors (see below), whose sum is σ = 883104768. Its totient is φ = 98447360.

The previous prime is 315764237. The next prime is 315764261. The reversal of 315764256 is 652467513.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 311206 + ... + 312218.

It is an arithmetic number, because the mean of its divisors is an integer number (9199008).

Almost surely, 2^315764256 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 315764256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441552384).

315764256 is an abundant number, since it is smaller than the sum of its proper divisors (567340512).

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

315764256 is a wasteful number, since it uses less digits than its factorization.

315764256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1226 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 315764256 is about 17769.7567794272. The cubic root of 315764256 is about 680.9590389391.

The spelling of 315764256 in words is "three hundred fifteen million, seven hundred sixty-four thousand, two hundred fifty-six".