314876808 has 160 divisors (see below), whose sum is σ = 946820160. Its totient is φ = 97511040.

The previous prime is 314876791. The next prime is 314876819. The reversal of 314876808 is 808678413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 551163 + ... + 551733.

It is an arithmetic number, because the mean of its divisors is an integer number (5917626).

Almost surely, 2^314876808 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 314876808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473410080).

314876808 is an abundant number, since it is smaller than the sum of its proper divisors (631943352).

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

314876808 is a wasteful number, since it uses less digits than its factorization.

314876808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 314876808 is about 17744.7684684811. The cubic root of 314876808 is about 680.3205005890.

The spelling of 314876808 in words is "three hundred fourteen million, eight hundred seventy-six thousand, eight hundred eight".