315990400 has 192 divisors, whose sum is σ = 874229760. Its totient is φ = 111872000.

The previous prime is 315990377. The next prime is 315990439. The reversal of 315990400 is 4099513.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1654305 + ... + 1654495.

It is an arithmetic number, because the mean of its divisors is an integer number (4553280).

Almost surely, 2^315990400 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 315990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437114880).

315990400 is an abundant number, since it is smaller than the sum of its proper divisors (558239360).

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

315990400 is a wasteful number, since it uses less digits than its factorization.

315990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 315990400 is about 17776.1188114841. The cubic root of 315990400 is about 681.1215631957.

The spelling of 315990400 in words is "three hundred fifteen million, nine hundred ninety thousand, four hundred".