314331420 has 96 divisors (see below), whose sum is σ = 971046720. Its totient is φ = 75479040.

The previous prime is 314331401. The next prime is 314331431. The reversal of 314331420 is 24133413.

314331420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 27066 + ... + 36894.

It is an arithmetic number, because the mean of its divisors is an integer number (10115070).

Almost surely, 2^314331420 is an apocalyptic number.

314331420 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 314331420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485523360).

314331420 is an abundant number, since it is smaller than the sum of its proper divisors (656715300).

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

314331420 is a wasteful number, since it uses less digits than its factorization.

314331420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9895 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 314331420 is about 17729.3942366907. The cubic root of 314331420 is about 679.9274865006.

Adding to 314331420 its reverse (24133413), we get a palindrome (338464833).

The spelling of 314331420 in words is "three hundred fourteen million, three hundred thirty-one thousand, four hundred twenty".