314588880 has 80 divisors (see below), whose sum is σ = 1083591360. Its totient is φ = 83889792.

The previous prime is 314588873. The next prime is 314588887. The reversal of 314588880 is 88885413.

It is an interprime number because it is at equal distance from previous prime (314588873) and next prime (314588887).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314588887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70662 + ... + 74981.

It is an arithmetic number, because the mean of its divisors is an integer number (13544892).

Almost surely, 2^314588880 is an apocalyptic number.

314588880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314588880 is an abundant number, since it is smaller than the sum of its proper divisors (769002480).

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

314588880 is a wasteful number, since it uses less digits than its factorization.

314588880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145665 (or 145653 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 314588880 is about 17736.6535738848. The cubic root of 314588880 is about 680.1130723158.

The spelling of 314588880 in words is "three hundred fourteen million, five hundred eighty-eight thousand, eight hundred eighty".