314320000 has 80 divisors (see below), whose sum is σ = 782679150. Its totient is φ = 125696000.

The previous prime is 314319997. The next prime is 314320003. The reversal of 314320000 is 23413.

It is an interprime number because it is at equal distance from previous prime (314319997) and next prime (314320003).

It can be written as a sum of positive squares in 5 ways, for example, as 2585664 + 311734336 = 1608^2 + 17656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (314320003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78036 + ... + 81964.

Almost surely, 2^314320000 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 314320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391339575).

314320000 is an abundant number, since it is smaller than the sum of its proper divisors (468359150).

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

314320000 is an frugal number, since it uses more digits than its factorization.

314320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3936 counting only the distinct ones).

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

The square root of 314320000 is about 17729.0721697442. The cubic root of 314320000 is about 679.9192522342.

Adding to 314320000 its reverse (23413), we get a palindrome (314343413).

The spelling of 314320000 in words is "three hundred fourteen million, three hundred twenty thousand".