314120320 has 64 divisors (see below), whose sum is σ = 755697600. Its totient is φ = 124853248.

The previous prime is 314120299. The next prime is 314120327. The reversal of 314120320 is 23021413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 314120294 and 314120303.

It is not an unprimeable number, because it can be changed into a prime (314120327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105411 + ... + 108349.

It is an arithmetic number, because the mean of its divisors is an integer number (11807775).

Almost surely, 2^314120320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377848800).

314120320 is an abundant number, since it is smaller than the sum of its proper divisors (441577280).

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

314120320 is a wasteful number, since it uses less digits than its factorization.

314120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 314120320 is about 17723.4398467115. The cubic root of 314120320 is about 679.7752429060.

Adding to 314120320 its reverse (23021413), we get a palindrome (337141733).

The spelling of 314120320 in words is "three hundred fourteen million, one hundred twenty thousand, three hundred twenty".