314922320 has 40 divisors (see below), whose sum is σ = 734852520. Its totient is φ = 125511680.

The previous prime is 314922319. The next prime is 314922323. The reversal of 314922320 is 23229413.

It can be written as a sum of positive squares in 4 ways, for example, as 90402064 + 224520256 = 9508^2 + 14984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 314922320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314922323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15476 + ... + 29484.

It is an arithmetic number, because the mean of its divisors is an integer number (18371313).

Almost surely, 2^314922320 is an apocalyptic number.

It is an amenable number.

314922320 is an abundant number, since it is smaller than the sum of its proper divisors (419930200).

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

314922320 is a wasteful number, since it uses less digits than its factorization.

314922320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14303 (or 14297 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 314922320 is about 17746.0508282829. The cubic root of 314922320 is about 680.3532766400.

The spelling of 314922320 in words is "three hundred fourteen million, nine hundred twenty-two thousand, three hundred twenty".