315347200 has 108 divisors (see below), whose sum is σ = 892165120. Its totient is φ = 108103680.

The previous prime is 315347171. The next prime is 315347209. The reversal of 315347200 is 2743513.

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

It is not an unprimeable number, because it can be changed into a prime (315347209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41281 + ... + 48319.

Almost surely, 2^315347200 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 315347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446082560).

315347200 is an abundant number, since it is smaller than the sum of its proper divisors (576817920).

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

315347200 is an equidigital number, since it uses as much as digits as its factorization.

315347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 315347200 is about 17758.0179074130. The cubic root of 315347200 is about 680.6591071887.

The spelling of 315347200 in words is "three hundred fifteen million, three hundred forty-seven thousand, two hundred".