314713080 has 256 divisors, whose sum is σ = 1166400000. Its totient is φ = 74833920.

The previous prime is 314713079. The next prime is 314713103. The reversal of 314713080 is 80317413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700696 + ... + 701144.

It is an arithmetic number, because the mean of its divisors is an integer number (4556250).

Almost surely, 2^314713080 is an apocalyptic number.

314713080 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 314713080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583200000).

314713080 is an abundant number, since it is smaller than the sum of its proper divisors (851686920).

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

314713080 is a wasteful number, since it uses less digits than its factorization.

314713080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 314713080 is about 17740.1544525407. The cubic root of 314713080 is about 680.2025636436.

The spelling of 314713080 in words is "three hundred fourteen million, seven hundred thirteen thousand, eighty".