315713824 has 48 divisors (see below), whose sum is σ = 651551040. Its totient is φ = 150304000.

The previous prime is 315713819. The next prime is 315713833. The reversal of 315713824 is 428317513.

315713824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×315713824³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 315713824.

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 7 ways as a sum of consecutive naturals, for example, 183882 + ... + 185590.

It is an arithmetic number, because the mean of its divisors is an integer number (13573980).

Almost surely, 2^315713824 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 315713824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325775520).

315713824 is an abundant number, since it is smaller than the sum of its proper divisors (335837216).

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

315713824 is a wasteful number, since it uses less digits than its factorization.

315713824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1985 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 315713824 is about 17768.3376825183. The cubic root of 315713824 is about 680.9227840917.

The spelling of 315713824 in words is "three hundred fifteen million, seven hundred thirteen thousand, eight hundred twenty-four".