408076013 has 2 divisors, whose sum is σ = 408076014. Its totient is φ = 408076012.

The previous prime is 408076003. The next prime is 408076049. The reversal of 408076013 is 310670804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 384669769 + 23406244 = 19613^2 + 4838^2 .

It is a cyclic number.

It is not a de Polignac number, because 408076013 - 2⁸ = 408075757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408076003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204038006 + 204038007.

It is an arithmetic number, because the mean of its divisors is an integer number (204038007).

Almost surely, 2^408076013 is an apocalyptic number.

It is an amenable number.

408076013 is a deficient number, since it is larger than the sum of its proper divisors (1).

408076013 is an equidigital number, since it uses as much as digits as its factorization.

408076013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 408076013 is about 20200.8913912233. The cubic root of 408076013 is about 741.7320112663.

The spelling of 408076013 in words is "four hundred eight million, seventy-six thousand, thirteen".