315952000 has 384 divisors, whose sum is σ = 1015822080. Its totient is φ = 96768000.

The previous prime is 315951983. The next prime is 315952037. The reversal of 315952000 is 259513.

315952000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10191985 + ... + 10192015.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^315952000 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 315952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507911040).

315952000 is an abundant number, since it is smaller than the sum of its proper divisors (699870080).

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

315952000 is a wasteful number, since it uses less digits than its factorization.

315952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 315952000 is about 17775.0386778763. The cubic root of 315952000 is about 681.0939715056.

The spelling of 315952000 in words is "three hundred fifteen million, nine hundred fifty-two thousand".