314120520 has 192 divisors, whose sum is σ = 1204669440. Its totient is φ = 69465600.

The previous prime is 314120519. The next prime is 314120567. The reversal of 314120520 is 25021413.

314120520 is a `hidden beast` number, since 3 + 141 + 2 + 0 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 314120493 and 314120502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76110 + ... + 80130.

It is an arithmetic number, because the mean of its divisors is an integer number (6274320).

Almost surely, 2^314120520 is an apocalyptic number.

314120520 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 314120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602334720).

314120520 is an abundant number, since it is smaller than the sum of its proper divisors (890548920).

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

314120520 is a wasteful number, since it uses less digits than its factorization.

314120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 314120520 is about 17723.4454889561. The cubic root of 314120520 is about 679.7753871767.

Adding to 314120520 its reverse (25021413), we get a palindrome (339141933).

The spelling of 314120520 in words is "three hundred fourteen million, one hundred twenty thousand, five hundred twenty".