409949514529 has 9 divisors (see below), whose sum is σ = 412444303609. Its totient is φ = 407469737200.

The previous prime is 409949514521. The next prime is 409949514539. The reversal of 409949514529 is 925415949904.

The square root of 409949514529 is 640273.

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 57056488225 + 352893026304 = 238865^2 + 594048^2 .

It is not a de Polignac number, because 409949514529 - 2³ = 409949514521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409949514521) 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, 110765379 + ... + 110769079.

Almost surely, 2^409949514529 is an apocalyptic number.

409949514529 is the 640273-rd square number.

409949514529 is the 320137-th centered octagonal number.

It is an amenable number.

409949514529 is a deficient number, since it is larger than the sum of its proper divisors (2494789080).

409949514529 is an frugal number, since it uses more digits than its factorization.

409949514529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7748 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 61.

The spelling of 409949514529 in words is "four hundred nine billion, nine hundred forty-nine million, five hundred fourteen thousand, five hundred twenty-nine".