313377200 has 120 divisors (see below), whose sum is σ = 782330880. Its totient is φ = 120556800.

The previous prime is 313377193. The next prime is 313377209. The reversal of 313377200 is 2773313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 313377200.

It is not an unprimeable number, because it can be changed into a prime (313377209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1485095 + ... + 1485305.

It is an arithmetic number, because the mean of its divisors is an integer number (6519424).

Almost surely, 2^313377200 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 313377200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391165440).

313377200 is an abundant number, since it is smaller than the sum of its proper divisors (468953680).

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

313377200 is a wasteful number, since it uses less digits than its factorization.

313377200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 26.

The square root of 313377200 is about 17702.4631054551. The cubic root of 313377200 is about 679.2387675262.

The spelling of 313377200 in words is "three hundred thirteen million, three hundred seventy-seven thousand, two hundred".