315214400 has 42 divisors (see below), whose sum is σ = 775628370. Its totient is φ = 126085120.

The previous prime is 315214349. The next prime is 315214409. The reversal of 315214400 is 4412513.

It can be written as a sum of positive squares in 3 ways, for example, as 37258816 + 277955584 = 6104^2 + 16672^2 .

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 (315214409) 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 5 ways as a sum of consecutive naturals, for example, 96905 + ... + 100104.

Almost surely, 2^315214400 is an apocalyptic number.

It is an amenable number.

315214400 is an abundant number, since it is smaller than the sum of its proper divisors (460413970).

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

315214400 is a wasteful number, since it uses less digits than its factorization.

315214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197031 (or 197016 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 315214400 is about 17754.2783576241. The cubic root of 315214400 is about 680.5635466753.

Adding to 315214400 its reverse (4412513), we get a palindrome (319626913).

The spelling of 315214400 in words is "three hundred fifteen million, two hundred fourteen thousand, four hundred".