407913 has 16 divisors (see below), whose sum is σ = 608256. Its totient is φ = 241040.

The previous prime is 407899. The next prime is 407917. The reversal of 407913 is 319704.

It is a cyclic number.

It is not a de Polignac number, because 407913 - 2⁸ = 407657 is a prime.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407913.

It is not an unprimeable number, because it can be changed into a prime (407917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1420 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (38016).

2⁴⁰⁷⁹¹³ is an apocalyptic number.

It is an amenable number.

407913 is a deficient number, since it is larger than the sum of its proper divisors (200343).

407913 is a wasteful number, since it uses less digits than its factorization.

407913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 407913 is about 638.6806713844. The cubic root of 407913 is about 74.1633232232.

Subtracting from 407913 its reverse (319704), we obtain a square (88209 = 297²).

The spelling of 407913 in words is "four hundred seven thousand, nine hundred thirteen".