409079205649 has 9 divisors (see below), whose sum is σ = 410739243537. Its totient is φ = 407425857744.

The previous prime is 409079205599. The next prime is 409079205697. The reversal of 409079205649 is 946502970904.

The square root of 409079205649 is 639593.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31979025 + 409047226624 = 5655^2 + 639568^2 .

It is not a de Polignac number, because 409079205649 - 2⁹ = 409079205137 is a prime.

It is a super-2 number, since 2×409079205649² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 409079205649.

It is not an unprimeable number, because it can be changed into a prime (409079205949) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 177166107 + ... + 177168415.

Almost surely, 2^409079205649 is an apocalyptic number.

409079205649 is the 639593-rd square number.

409079205649 is the 319797-th centered octagonal number.

It is an amenable number.

409079205649 is a deficient number, since it is larger than the sum of its proper divisors (1660037888).

409079205649 is an frugal number, since it uses more digits than its factorization.

409079205649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 409079205649 in words is "four hundred nine billion, seventy-nine million, two hundred five thousand, six hundred forty-nine".