409079205949 has 2 divisors, whose sum is σ = 409079205950. Its totient is φ = 409079205948.

The previous prime is 409079205929. The next prime is 409079205967. The reversal of 409079205949 is 949502970904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 350458080025 + 58621125924 = 591995^2 + 242118^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-409079205949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 409079205893 and 409079205902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409079205929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204539602974 + 204539602975.

It is an arithmetic number, because the mean of its divisors is an integer number (204539602975).

Almost surely, 2^409079205949 is an apocalyptic number.

It is an amenable number.

409079205949 is a deficient number, since it is larger than the sum of its proper divisors (1).

409079205949 is an equidigital number, since it uses as much as digits as its factorization.

409079205949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 409079205949 in words is "four hundred nine billion, seventy-nine million, two hundred five thousand, nine hundred forty-nine".