313406400 has 84 divisors (see below), whose sum is σ = 1028249912. Its totient is φ = 83573760.

The previous prime is 313406377. The next prime is 313406411. The reversal of 313406400 is 4604313.

313406400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 27847 + ... + 37446.

Almost surely, 2^313406400 is an apocalyptic number.

313406400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313406400 is an abundant number, since it is smaller than the sum of its proper divisors (714843512).

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

313406400 is a wasteful number, since it uses less digits than its factorization.

313406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65318 (or 65303 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 313406400 is about 17703.2878302309. The cubic root of 313406400 is about 679.2598636749.

The spelling of 313406400 in words is "three hundred thirteen million, four hundred six thousand, four hundred".