313398720 has 280 divisors, whose sum is σ = 1135191024. Its totient is φ = 82059264.

The previous prime is 313398707. The next prime is 313398751. The reversal of 313398720 is 27893313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2773384 + ... + 2773496.

Almost surely, 2^313398720 is an apocalyptic number.

313398720 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 313398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567595512).

313398720 is an abundant number, since it is smaller than the sum of its proper divisors (821792304).

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

313398720 is a wasteful number, since it uses less digits than its factorization.

313398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 313398720 is about 17703.0709200410. The cubic root of 313398720 is about 679.2543152258.

The spelling of 313398720 in words is "three hundred thirteen million, three hundred ninety-eight thousand, seven hundred twenty".