313377456 has 160 divisors (see below), whose sum is σ = 992936448. Its totient is φ = 83128320.

The previous prime is 313377433. The next prime is 313377511. The reversal of 313377456 is 654773313.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 473766 + ... + 474426.

Almost surely, 2^313377456 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 313377456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496468224).

313377456 is an abundant number, since it is smaller than the sum of its proper divisors (679558992).

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

313377456 is a wasteful number, since it uses less digits than its factorization.

313377456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its digits is 158760, while the sum is 39.

The square root of 313377456 is about 17702.4703360859. The cubic root of 313377456 is about 679.2389524844.

The spelling of 313377456 in words is "three hundred thirteen million, three hundred seventy-seven thousand, four hundred fifty-six".