314832960 has 224 divisors, whose sum is σ = 1196522880. Its totient is φ = 77469696.

The previous prime is 314832953. The next prime is 314833003. The reversal of 314832960 is 69238413.

314832960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110919 + ... + 113721.

It is an arithmetic number, because the mean of its divisors is an integer number (5341620).

Almost surely, 2^314832960 is an apocalyptic number.

314832960 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 314832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598261440).

314832960 is an abundant number, since it is smaller than the sum of its proper divisors (881689920).

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

314832960 is a wasteful number, since it uses less digits than its factorization.

314832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 314832960 is about 17743.5329063859. The cubic root of 314832960 is about 680.2889199016.

It can be divided in two parts, 31483 and 2960, that added together give a palindrome (34443).

The spelling of 314832960 in words is "three hundred fourteen million, eight hundred thirty-two thousand, nine hundred sixty".