314091520 has 96 divisors (see below), whose sum is σ = 774937800. Its totient is φ = 122093568.

The previous prime is 314091509. The next prime is 314091539. The reversal of 314091520 is 25190413.

It can be written as a sum of positive squares in 4 ways, for example, as 301925376 + 12166144 = 17376^2 + 3488^2 .

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, 378466 + ... + 379294.

Almost surely, 2^314091520 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 314091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387468900).

314091520 is an abundant number, since it is smaller than the sum of its proper divisors (460846280).

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

314091520 is an equidigital number, since it uses as much as digits as its factorization.

314091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 314091520 is about 17722.6273447252. The cubic root of 314091520 is about 679.7544672944.

The spelling of 314091520 in words is "three hundred fourteen million, ninety-one thousand, five hundred twenty".