314808720 has 320 divisors, whose sum is σ = 1131356160. Its totient is φ = 71884800.

The previous prime is 314808713. The next prime is 314808721. The reversal of 314808720 is 27808413.

314808720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (314808721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2403055 + ... + 2403185.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2^314808720 is an apocalyptic number.

314808720 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 314808720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

314808720 is an abundant number, since it is smaller than the sum of its proper divisors (816547440).

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

314808720 is a wasteful number, since it uses less digits than its factorization.

314808720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 314808720 is about 17742.8498274657. The cubic root of 314808720 is about 680.2714602444.

The spelling of 314808720 in words is "three hundred fourteen million, eight hundred eight thousand, seven hundred twenty".