407314313 has 6 divisors (see below), whose sum is σ = 473814666. Its totient is φ = 349126512.

The previous prime is 407314307. The next prime is 407314331. The reversal of 407314313 is 313413704.

It can be written as a sum of positive squares in only one way, i.e., 390773824 + 16540489 = 19768^2 + 4067^2 .

It is not a de Polignac number, because 407314313 - 2²⁰ = 406265737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407314333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4156220 + ... + 4156317.

It is an arithmetic number, because the mean of its divisors is an integer number (78969111).

Almost surely, 2^407314313 is an apocalyptic number.

It is an amenable number.

407314313 is a deficient number, since it is larger than the sum of its proper divisors (66500353).

407314313 is an equidigital number, since it uses as much as digits as its factorization.

407314313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312551 (or 8312544 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 407314313 is about 20182.0294569203. The cubic root of 407314313 is about 741.2702270709.

The spelling of 407314313 in words is "four hundred seven million, three hundred fourteen thousand, three hundred thirteen".