315316200 has 192 divisors, whose sum is σ = 1037255040. Its totient is φ = 79073280.

The previous prime is 315316193. The next prime is 315316213. The reversal of 315316200 is 2613513.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007244 + ... + 1007556.

It is an arithmetic number, because the mean of its divisors is an integer number (5402370).

Almost surely, 2^315316200 is an apocalyptic number.

315316200 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 315316200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518627520).

315316200 is an abundant number, since it is smaller than the sum of its proper divisors (721938840).

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

315316200 is a wasteful number, since it uses less digits than its factorization.

315316200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 315316200 is about 17757.1450407998. The cubic root of 315316200 is about 680.6368025419.

Adding to 315316200 its reverse (2613513), we get a palindrome (317929713).

The spelling of 315316200 in words is "three hundred fifteen million, three hundred sixteen thousand, two hundred".