409852198809 has 63 divisors (see below), whose sum is σ = 622663845807. Its totient is φ = 269650976400.

The previous prime is 409852198787. The next prime is 409852198829. The reversal of 409852198809 is 908891258904.

The square root of 409852198809 is 640197.

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

409852198809 is a `hidden beast` number, since 409 + 8 + 5 + 219 + 8 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4516243209 + 405335955600 = 67203^2 + 636660^2 .

It is not a de Polignac number, because 409852198809 - 2¹⁵ = 409852166041 is a prime.

It is a super-2 number, since 2×409852198809² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (409852198829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2264376699 + ... + 2264376879.

Almost surely, 2^409852198809 is an apocalyptic number.

409852198809 is the 640197-th square number.

409852198809 is the 320099-th centered octagonal number.

It is an amenable number.

409852198809 is a deficient number, since it is larger than the sum of its proper divisors (212811646998).

409852198809 is an frugal number, since it uses more digits than its factorization.

409852198809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 409852198809 in words is "four hundred nine billion, eight hundred fifty-two million, one hundred ninety-eight thousand, eight hundred nine".