313552000 has 64 divisors (see below), whose sum is σ = 779608440. Its totient is φ = 125414400.

The previous prime is 313551983. The next prime is 313552007. The reversal of 313552000 is 255313.

It can be written as a sum of positive squares in 4 ways, for example, as 75898944 + 237653056 = 8712^2 + 15416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (313552007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6202 + ... + 25798.

Almost surely, 2^313552000 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 313552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389804220).

313552000 is an abundant number, since it is smaller than the sum of its proper divisors (466056440).

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

313552000 is an equidigital number, since it uses as much as digits as its factorization.

313552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19626 (or 19604 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 313552000 is about 17707.3995832251. The cubic root of 313552000 is about 679.3650358780.

The spelling of 313552000 in words is "three hundred thirteen million, five hundred fifty-two thousand".