315606400 has 48 divisors (see below), whose sum is σ = 779654340. Its totient is φ = 126241280.

The previous prime is 315606367. The next prime is 315606407. The reversal of 315606400 is 4606513.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315606407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46114 + ... + 52513.

Almost surely, 2^315606400 is an apocalyptic number.

It is an amenable number.

315606400 is an abundant number, since it is smaller than the sum of its proper divisors (464047940).

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

315606400 is an equidigital number, since it uses as much as digits as its factorization.

315606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98651 (or 98634 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 315606400 is about 17765.3145201542. The cubic root of 315606400 is about 680.8455456335.

The spelling of 315606400 in words is "three hundred fifteen million, six hundred six thousand, four hundred".