313428520 has 64 divisors (see below), whose sum is σ = 734605200. Its totient is φ = 120207360.

The previous prime is 313428509. The next prime is 313428523. The reversal of 313428520 is 25824313.

It can be written as a sum of positive squares in 8 ways, for example, as 143856036 + 169572484 = 11994^2 + 13022^2 .

It is not an unprimeable number, because it can be changed into a prime (313428523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181260 + ... + 182980.

Almost surely, 2^313428520 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 313428520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367302600).

313428520 is an abundant number, since it is smaller than the sum of its proper divisors (421176680).

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

313428520 is a wasteful number, since it uses less digits than its factorization.

313428520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 313428520 is about 17703.9125619169. The cubic root of 313428520 is about 679.2758438577.

The spelling of 313428520 in words is "three hundred thirteen million, four hundred twenty-eight thousand, five hundred twenty".