314831880 has 128 divisors (see below), whose sum is σ = 1144886400. Its totient is φ = 76320000.

The previous prime is 314831863. The next prime is 314831903. The reversal of 314831880 is 88138413.

It is a super-2 number, since 2×314831880² = 198238225328668800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1371 + ... + 25130.

It is an arithmetic number, because the mean of its divisors is an integer number (8944425).

Almost surely, 2^314831880 is an apocalyptic number.

314831880 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 314831880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572443200).

314831880 is an abundant number, since it is smaller than the sum of its proper divisors (830054520).

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

314831880 is a wasteful number, since it uses less digits than its factorization.

314831880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26532 (or 26522 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 314831880 is about 17743.5024727363. The cubic root of 314831880 is about 680.2881420151.

The spelling of 314831880 in words is "three hundred fourteen million, eight hundred thirty-one thousand, eight hundred eighty".