314312320 has 128 divisors (see below), whose sum is σ = 909480960. Its totient is φ = 101400576.

The previous prime is 314312287. The next prime is 314312329. The reversal of 314312320 is 23213413.

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

It is not an unprimeable number, because it can be changed into a prime (314312329) 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, 74097 + ... + 78223.

It is an arithmetic number, because the mean of its divisors is an integer number (7105320).

Almost surely, 2^314312320 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 314312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454740480).

314312320 is an abundant number, since it is smaller than the sum of its proper divisors (595168640).

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

314312320 is a wasteful number, since it uses less digits than its factorization.

314312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 314312320 is about 17728.8555750223. The cubic root of 314312320 is about 679.9137145419.

Adding to 314312320 its reverse (23213413), we get a palindrome (337525733).

The spelling of 314312320 in words is "three hundred fourteen million, three hundred twelve thousand, three hundred twenty".