313314456 has 128 divisors (see below), whose sum is σ = 987840000. Its totient is φ = 80593920.

The previous prime is 313314431. The next prime is 313314473. The reversal of 313314456 is 654413313.

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 31 ways as a sum of consecutive naturals, for example, 87795 + ... + 91293.

It is an arithmetic number, because the mean of its divisors is an integer number (7717500).

Almost surely, 2^313314456 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 313314456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920000).

313314456 is an abundant number, since it is smaller than the sum of its proper divisors (674525544).

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

313314456 is a wasteful number, since it uses less digits than its factorization.

313314456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3565 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 313314456 is about 17700.6908339759. The cubic root of 313314456 is about 679.1934323818.

Adding to 313314456 its reverse (654413313), we get a palindrome (967727769).

The spelling of 313314456 in words is "three hundred thirteen million, three hundred fourteen thousand, four hundred fifty-six".