314032000 has 128 divisors (see below), whose sum is σ = 822650400. Its totient is φ = 118886400.

The previous prime is 314031989. The next prime is 314032001. The reversal of 314032000 is 230413.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314032001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303484 + ... + 304516.

Almost surely, 2^314032000 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 314032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411325200).

314032000 is an abundant number, since it is smaller than the sum of its proper divisors (508618400).

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

314032000 is a wasteful number, since it uses less digits than its factorization.

314032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 314032000 is about 17720.9480559027. The cubic root of 314032000 is about 679.7115270055.

Adding to 314032000 its reverse (230413), we get a palindrome (314262413).

The spelling of 314032000 in words is "three hundred fourteen million, thirty-two thousand".