313909472 has 48 divisors (see below), whose sum is σ = 647603712. Its totient is φ = 149592960.

The previous prime is 313909429. The next prime is 313909487. The reversal of 313909472 is 274909313.

It is a super-2 number, since 2×313909472² = 197078313222637568, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 64103 + ... + 68825.

It is an arithmetic number, because the mean of its divisors is an integer number (13491744).

Almost surely, 2^313909472 is an apocalyptic number.

313909472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313909472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323801856).

313909472 is an abundant number, since it is smaller than the sum of its proper divisors (333694240).

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

313909472 is a wasteful number, since it uses less digits than its factorization.

313909472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 313909472 is about 17717.4905672333. The cubic root of 313909472 is about 679.6231129499.

The spelling of 313909472 in words is "three hundred thirteen million, nine hundred nine thousand, four hundred seventy-two".