313906464 has 72 divisors (see below), whose sum is σ = 894691980. Its totient is φ = 104398848.

The previous prime is 313906459. The next prime is 313906487. The reversal of 313906464 is 464609313.

313906464 is a `hidden beast` number, since 3 + 1 + 3 + 9 + 0 + 646 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278622864 + 35283600 = 16692^2 + 5940^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 165232 + ... + 167120.

Almost surely, 2^313906464 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 313906464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447345990).

313906464 is an abundant number, since it is smaller than the sum of its proper divisors (580785516).

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

313906464 is a wasteful number, since it uses less digits than its factorization.

313906464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 313906464 is about 17717.4056791619. The cubic root of 313906464 is about 679.6209421405.

The spelling of 313906464 in words is "three hundred thirteen million, nine hundred six thousand, four hundred sixty-four".