315316800 has 252 divisors, whose sum is σ = 1163651216. Its totient is φ = 83980800.

The previous prime is 315316783. The next prime is 315316801. The reversal of 315316800 is 8613513.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (315316801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388395 + ... + 389205.

Almost surely, 2^315316800 is an apocalyptic number.

315316800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581825608).

315316800 is an abundant number, since it is smaller than the sum of its proper divisors (848334416).

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

315316800 is an equidigital number, since it uses as much as digits as its factorization.

315316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 315316800 is about 17757.1619353995. The cubic root of 315316800 is about 680.6372342586.

The spelling of 315316800 in words is "three hundred fifteen million, three hundred sixteen thousand, eight hundred".