313873264 has 40 divisors (see below), whose sum is σ = 649422720. Its totient is φ = 146630400.

The previous prime is 313873247. The next prime is 313873267. The reversal of 313873264 is 462378313.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313873267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3474 + ... + 25294.

It is an arithmetic number, because the mean of its divisors is an integer number (16235568).

Almost surely, 2^313873264 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 313873264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324711360).

313873264 is an abundant number, since it is smaller than the sum of its proper divisors (335549456).

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

313873264 is a wasteful number, since it uses less digits than its factorization.

313873264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21889 (or 21883 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 313873264 is about 17716.4687226321. The cubic root of 313873264 is about 679.5969814884.

The spelling of 313873264 in words is "three hundred thirteen million, eight hundred seventy-three thousand, two hundred sixty-four".