313645200 has 120 divisors (see below), whose sum is σ = 1096093536. Its totient is φ = 76032000.

The previous prime is 313645193. The next prime is 313645201. The reversal of 313645200 is 2546313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×313645200² = 196746622966080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (313645201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1320 + ... + 25080.

Almost surely, 2^313645200 is an apocalyptic number.

313645200 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 313645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548046768).

313645200 is an abundant number, since it is smaller than the sum of its proper divisors (782448336).

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

313645200 is a wasteful number, since it uses less digits than its factorization.

313645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23793 (or 23782 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 313645200 is about 17710.0310558734. The cubic root of 313645200 is about 679.4323405558.

The spelling of 313645200 in words is "three hundred thirteen million, six hundred forty-five thousand, two hundred".