313644400 has 60 divisors (see below), whose sum is σ = 793209400. Its totient is φ = 118851840.

The previous prime is 313644377. The next prime is 313644403. The reversal of 313644400 is 4446313.

It is a happy number.

313644400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (313644403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13035 + ... + 28234.

Almost surely, 2^313644400 is an apocalyptic number.

It is an amenable number.

313644400 is an abundant number, since it is smaller than the sum of its proper divisors (479565000).

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

313644400 is a wasteful number, since it uses less digits than its factorization.

313644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41306 (or 41295 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 313644400 is about 17710.0084697891. The cubic root of 313644400 is about 679.4317628899.

The spelling of 313644400 in words is "three hundred thirteen million, six hundred forty-four thousand, four hundred".