315351200 has 72 divisors (see below), whose sum is σ = 786324672. Its totient is φ = 123441920.

The previous prime is 315351193. The next prime is 315351209. The reversal of 315351200 is 2153513.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (315351209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33407 + ... + 41793.

It is an arithmetic number, because the mean of its divisors is an integer number (10921176).

Almost surely, 2^315351200 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 315351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393162336).

315351200 is an abundant number, since it is smaller than the sum of its proper divisors (470973472).

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

315351200 is a wasteful number, since it uses less digits than its factorization.

315351200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8454 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 315351200 is about 17758.1305322379. The cubic root of 315351200 is about 680.6619851012.

The spelling of 315351200 in words is "three hundred fifteen million, three hundred fifty-one thousand, two hundred".