407540013 has 12 divisors (see below), whose sum is σ = 568041600. Its totient is φ = 259879576.

The previous prime is 407539999. The next prime is 407540017. The reversal of 407540013 is 310045704.

It is not a de Polignac number, because 407540013 - 2⁸ = 407539757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407540017) 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, 126813 + ... + 129986.

It is an arithmetic number, because the mean of its divisors is an integer number (47336800).

Almost surely, 2^407540013 is an apocalyptic number.

It is an amenable number.

407540013 is a deficient number, since it is larger than the sum of its proper divisors (160501587).

407540013 is a wasteful number, since it uses less digits than its factorization.

407540013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256848 (or 256825 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 407540013 is about 20187.6202906633. The cubic root of 407540013 is about 741.4071187311.

Adding to 407540013 its reverse (310045704), we get a palindrome (717585717).

The spelling of 407540013 in words is "four hundred seven million, five hundred forty thousand, thirteen".