313253200 has 120 divisors (see below), whose sum is σ = 819510048. Its totient is φ = 114378240.

The previous prime is 313253197. The next prime is 313253219. The reversal of 313253200 is 2352313.

It is a congruent number.

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, 556119 + ... + 556681.

Almost surely, 2^313253200 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 313253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409755024).

313253200 is an abundant number, since it is smaller than the sum of its proper divisors (506256848).

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

313253200 is a wasteful number, since it uses less digits than its factorization.

313253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 313253200 is about 17698.9604214485. The cubic root of 313253200 is about 679.1491665398.

The spelling of 313253200 in words is "three hundred thirteen million, two hundred fifty-three thousand, two hundred".