313725440 has 240 divisors, whose sum is σ = 911051064. Its totient is φ = 103219200.

The previous prime is 313725439. The next prime is 313725521. The reversal of 313725440 is 44527313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 78287104 + 235438336 = 8848^2 + 15344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5143010 + ... + 5143070.

Almost surely, 2^313725440 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 313725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455525532).

313725440 is an abundant number, since it is smaller than the sum of its proper divisors (597325624).

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

313725440 is an equidigital number, since it uses as much as digits as its factorization.

313725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 313725440 is about 17712.2962938180. The cubic root of 313725440 is about 679.4902754480.

The spelling of 313725440 in words is "three hundred thirteen million, seven hundred twenty-five thousand, four hundred forty".