315150400 has 84 divisors (see below), whose sum is σ = 788423620. Its totient is φ = 123955200.

The previous prime is 315150389. The next prime is 315150413. The reversal of 315150400 is 4051513.

It can be written as a sum of positive squares in 6 ways, for example, as 85082176 + 230068224 = 9224^2 + 15168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95986 + ... + 99214.

Almost surely, 2^315150400 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 315150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394211810).

315150400 is an abundant number, since it is smaller than the sum of its proper divisors (473273220).

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

315150400 is a wasteful number, since it uses less digits than its factorization.

315150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 315150400 is about 17752.4758836620. The cubic root of 315150400 is about 680.5174838313.

The spelling of 315150400 in words is "three hundred fifteen million, one hundred fifty thousand, four hundred".