313975200 has 288 divisors, whose sum is σ = 1274918400. Its totient is φ = 65203200.

The previous prime is 313975187. The next prime is 313975201. The reversal of 313975200 is 2579313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313975201) 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 47 ways as a sum of consecutive naturals, for example, 183951 + ... + 185649.

It is an arithmetic number, because the mean of its divisors is an integer number (4426800).

Almost surely, 2^313975200 is an apocalyptic number.

313975200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637459200).

313975200 is an abundant number, since it is smaller than the sum of its proper divisors (960943200).

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

313975200 is a wasteful number, since it uses less digits than its factorization.

313975200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 313975200 is about 17719.3453603681. The cubic root of 313975200 is about 679.6705439818.

The spelling of 313975200 in words is "three hundred thirteen million, nine hundred seventy-five thousand, two hundred".