314306520 has 128 divisors (see below), whose sum is σ = 1061959680. Its totient is φ = 73728000.

The previous prime is 314306513. The next prime is 314306521. The reversal of 314306520 is 25603413.

It is a happy number.

314306520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314306521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37080 + ... + 44760.

It is an arithmetic number, because the mean of its divisors is an integer number (8296560).

Almost surely, 2^314306520 is an apocalyptic number.

314306520 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 314306520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530979840).

314306520 is an abundant number, since it is smaller than the sum of its proper divisors (747653160).

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

314306520 is a wasteful number, since it uses less digits than its factorization.

314306520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7737 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 314306520 is about 17728.6919991295. The cubic root of 314306520 is about 679.9095323707.

Adding to 314306520 its reverse (25603413), we get a palindrome (339909933).

It can be divided in two parts, 31430 and 6520, that added together give a triangular number (37950 = T₂₇₅).

The spelling of 314306520 in words is "three hundred fourteen million, three hundred six thousand, five hundred twenty".