314232960 has 128 divisors (see below), whose sum is σ = 1018416960. Its totient is φ = 82391040.

The previous prime is 314232959. The next prime is 314232967. The reversal of 314232960 is 69232413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (314232967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115779 + ... + 118461.

Almost surely, 2^314232960 is an apocalyptic number.

314232960 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 314232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509208480).

314232960 is an abundant number, since it is smaller than the sum of its proper divisors (704184000).

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

314232960 is a wasteful number, since it uses less digits than its factorization.

314232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 314232960 is about 17726.6172745958. The cubic root of 314232960 is about 679.8564864380.

The spelling of 314232960 in words is "three hundred fourteen million, two hundred thirty-two thousand, nine hundred sixty".