314665920 has 168 divisors, whose sum is σ = 1146163824. Its totient is φ = 78962688.

The previous prime is 314665913. The next prime is 314665931. The reversal of 314665920 is 29566413.

It is a happy number.

314665920 is a `hidden beast` number, since 3 + 1 + 4 + 66 + 592 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 45747 + ... + 52173.

Almost surely, 2^314665920 is an apocalyptic number.

314665920 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 314665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573081912).

314665920 is an abundant number, since it is smaller than the sum of its proper divisors (831497904).

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

314665920 is a wasteful number, since it uses less digits than its factorization.

314665920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 314665920 is about 17738.8252147655. The cubic root of 314665920 is about 680.1685856518.

The spelling of 314665920 in words is "three hundred fourteen million, six hundred sixty-five thousand, nine hundred twenty".