315046400 has 120 divisors (see below), whose sum is σ = 790541664. Its totient is φ = 124416000.

The previous prime is 315046399. The next prime is 315046411. The reversal of 315046400 is 4640513.

It is a happy number.

315046400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 1932719 + ... + 1932881.

Almost surely, 2^315046400 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 315046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395270832).

315046400 is an abundant number, since it is smaller than the sum of its proper divisors (475495264).

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

315046400 is a wasteful number, since it uses less digits than its factorization.

315046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 315046400 is about 17749.5464730792. The cubic root of 315046400 is about 680.4426184074.

Adding to 315046400 its reverse (4640513), we get a palindrome (319686913).

The spelling of 315046400 in words is "three hundred fifteen million, forty-six thousand, four hundred".