314442960 has 160 divisors (see below), whose sum is σ = 1061598720. Its totient is φ = 76529664.

The previous prime is 314442941. The next prime is 314442967. The reversal of 314442960 is 69244413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314442967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302121 + ... + 303159.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2^314442960 is an apocalyptic number.

314442960 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 314442960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530799360).

314442960 is an abundant number, since it is smaller than the sum of its proper divisors (747155760).

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

314442960 is a wasteful number, since it uses less digits than its factorization.

314442960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 314442960 is about 17732.5395812331. The cubic root of 314442960 is about 680.0079007156.

The spelling of 314442960 in words is "three hundred fourteen million, four hundred forty-two thousand, nine hundred sixty".