314064160 has 48 divisors (see below), whose sum is σ = 743243256. Its totient is φ = 125411328.

The previous prime is 314064151. The next prime is 314064161. The reversal of 314064160 is 61460413.

It can be written as a sum of positive squares in 4 ways, for example, as 276756496 + 37307664 = 16636^2 + 6108^2 .

It is not an unprimeable number, because it can be changed into a prime (314064161) 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, 119824 + ... + 122416.

Almost surely, 2^314064160 is an apocalyptic number.

It is an amenable number.

314064160 is an abundant number, since it is smaller than the sum of its proper divisors (429179096).

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

314064160 is a wasteful number, since it uses less digits than its factorization.

314064160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 314064160 is about 17721.8554333343. The cubic root of 314064160 is about 679.7347292869.

The spelling of 314064160 in words is "three hundred fourteen million, sixty-four thousand, one hundred sixty".