314763320 has 64 divisors (see below), whose sum is σ = 723163680. Its totient is φ = 123273216.

The previous prime is 314763301. The next prime is 314763359. The reversal of 314763320 is 23367413.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688532 + ... + 688988.

Almost surely, 2^314763320 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 314763320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361581840).

314763320 is an abundant number, since it is smaller than the sum of its proper divisors (408400360).

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

314763320 is a wasteful number, since it uses less digits than its factorization.

314763320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 314763320 is about 17741.5703927245. The cubic root of 314763320 is about 680.2387569899.

The spelling of 314763320 in words is "three hundred fourteen million, seven hundred sixty-three thousand, three hundred twenty".