314352520 has 32 divisors (see below), whose sum is σ = 718893720. Its totient is φ = 123678720.

The previous prime is 314352517. The next prime is 314352529. The reversal of 314352520 is 25253413.

It can be written as a sum of positive squares in 4 ways, for example, as 153214884 + 161137636 = 12378^2 + 12694^2 .

It is not an unprimeable number, because it can be changed into a prime (314352529) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 61977 + ... + 66856.

Almost surely, 2^314352520 is an apocalyptic number.

It is an amenable number.

314352520 is an abundant number, since it is smaller than the sum of its proper divisors (404541200).

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

314352520 is a wasteful number, since it uses less digits than its factorization.

314352520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128905 (or 128901 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 314352520 is about 17729.9892836967. The cubic root of 314352520 is about 679.9426999007.

The spelling of 314352520 in words is "three hundred fourteen million, three hundred fifty-two thousand, five hundred twenty".