314883968 has 64 divisors (see below), whose sum is σ = 719426400. Its totient is φ = 134479872.

The previous prime is 314883953. The next prime is 314883983. The reversal of 314883968 is 869388413.

It is an interprime number because it is at equal distance from previous prime (314883953) and next prime (314883983).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 409088 + ... + 409856.

Almost surely, 2^314883968 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 314883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359713200).

314883968 is an abundant number, since it is smaller than the sum of its proper divisors (404542432).

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

314883968 is an equidigital number, since it uses as much as digits as its factorization.

314883968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1235 counting only the distinct ones).

The product of its digits is 995328, while the sum is 50.

The square root of 314883968 is about 17744.9702169375. The cubic root of 314883968 is about 680.3256571642.

The spelling of 314883968 in words is "three hundred fourteen million, eight hundred eighty-three thousand, nine hundred sixty-eight".