314442880 has 64 divisors (see below), whose sum is σ = 795961080. Its totient is φ = 118374400.

The previous prime is 314442871. The next prime is 314442893. The reversal of 314442880 is 88244413.

It is a happy number.

314442880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 312865344 + 1577536 = 17688^2 + 1256^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3571 + ... + 25330.

Almost surely, 2^314442880 is an apocalyptic number.

It is an amenable number.

314442880 is an abundant number, since it is smaller than the sum of its proper divisors (481518200).

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

314442880 is a wasteful number, since it uses less digits than its factorization.

314442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28937 (or 28925 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 314442880 is about 17732.5373254929. The cubic root of 314442880 is about 680.0078430468.

The spelling of 314442880 in words is "three hundred fourteen million, four hundred forty-two thousand, eight hundred eighty".