409256013 has 16 divisors (see below), whose sum is σ = 549303296. Its totient is φ = 271030320.

The previous prime is 409255993. The next prime is 409256021. The reversal of 409256013 is 310652904.

It is not a de Polignac number, because 409256013 - 2⁸ = 409255757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409256053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363870 + ... + 364992.

It is an arithmetic number, because the mean of its divisors is an integer number (34331456).

Almost surely, 2^409256013 is an apocalyptic number.

It is an amenable number.

409256013 is a deficient number, since it is larger than the sum of its proper divisors (140047283).

409256013 is a wasteful number, since it uses less digits than its factorization.

409256013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 409256013 is about 20230.0769400415. The cubic root of 409256013 is about 742.4462585099.

The spelling of 409256013 in words is "four hundred nine million, two hundred fifty-six thousand, thirteen".