314956960 has 48 divisors (see below), whose sum is σ = 787862376. Its totient is φ = 118571008.

The previous prime is 314956951. The next prime is 314956981. The reversal of 314956960 is 69659413.

It can be written as a sum of positive squares in 4 ways, for example, as 191213584 + 123743376 = 13828^2 + 11124^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55177 + ... + 60616.

Almost surely, 2^314956960 is an apocalyptic number.

It is an amenable number.

314956960 is an abundant number, since it is smaller than the sum of its proper divisors (472905416).

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

314956960 is a wasteful number, since it uses less digits than its factorization.

314956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115825 (or 115817 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 314956960 is about 17747.0267932406. The cubic root of 314956960 is about 680.3782209643.

The spelling of 314956960 in words is "three hundred fourteen million, nine hundred fifty-six thousand, nine hundred sixty".