314907152 has 60 divisors (see below), whose sum is σ = 710686656. Its totient is φ = 132390720.

The previous prime is 314907139. The next prime is 314907163. The reversal of 314907152 is 251709413.

It is a super-2 number, since 2×314907152² = 198333028761502208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1582349 + ... + 1582547.

Almost surely, 2^314907152 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 314907152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355343328).

314907152 is an abundant number, since it is smaller than the sum of its proper divisors (395779504).

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

314907152 is an equidigital number, since it uses as much as digits as its factorization.

314907152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 314907152 is about 17745.6234604479. The cubic root of 314907152 is about 680.3423535609.

The spelling of 314907152 in words is "three hundred fourteen million, nine hundred seven thousand, one hundred fifty-two".