407307313 has 8 divisors (see below), whose sum is σ = 489993920. Its totient is φ = 330745680.

The previous prime is 407307289. The next prime is 407307317. The reversal of 407307313 is 313703704.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 407307313 - 2¹⁷ = 407176241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407307317) 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, 1531098 + ... + 1531363.

It is an arithmetic number, because the mean of its divisors is an integer number (61249240).

Almost surely, 2^407307313 is an apocalyptic number.

It is an amenable number.

407307313 is a deficient number, since it is larger than the sum of its proper divisors (82686607).

407307313 is a wasteful number, since it uses less digits than its factorization.

407307313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062487.

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 407307313 is about 20181.8560345673. The cubic root of 407307313 is about 741.2659806194.

It can be divided in two parts, 407 and 307313, that added together give a triangular number (307720 = T₇₈₄).

The spelling of 407307313 in words is "four hundred seven million, three hundred seven thousand, three hundred thirteen".