314980320 has 96 divisors (see below), whose sum is σ = 1000194048. Its totient is φ = 83317248.

The previous prime is 314980279. The next prime is 314980321. The reversal of 314980320 is 23089413.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314980321) 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, 58377 + ... + 63543.

It is an arithmetic number, because the mean of its divisors is an integer number (10418688).

Almost surely, 2^314980320 is an apocalyptic number.

314980320 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 314980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500097024).

314980320 is an abundant number, since it is smaller than the sum of its proper divisors (685213728).

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

314980320 is a wasteful number, since it uses less digits than its factorization.

314980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 314980320 is about 17747.6849194479. The cubic root of 314980320 is about 680.3950415084.

The spelling of 314980320 in words is "three hundred fourteen million, nine hundred eighty thousand, three hundred twenty".