407313 has 12 divisors (see below), whose sum is σ = 594048. Its totient is φ = 268920.

The previous prime is 407311. The next prime is 407317. The reversal of 407313 is 313704.

It is not a de Polignac number, because 407313 - 2¹ = 407311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (407311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1368 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (49504).

2⁴⁰⁷³¹³ is an apocalyptic number.

It is an amenable number.

407313 is a deficient number, since it is larger than the sum of its proper divisors (186735).

407313 is a wasteful number, since it uses less digits than its factorization.

407313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 407313 is about 638.2107802286. The cubic root of 407313 is about 74.1269430562.

The spelling of 407313 in words is "four hundred seven thousand, three hundred thirteen".