409941009 has 27 divisors (see below), whose sum is σ = 630605937. Its totient is φ = 256569984.

The previous prime is 409940989. The next prime is 409941011. The reversal of 409941009 is 900149904.

The square root of 409941009 is 20247.

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 83777409 + 326163600 = 9153^2 + 18060^2 .

It is not a de Polignac number, because 409941009 - 2⁵ = 409940977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409941809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1032399 + ... + 1032795.

Almost surely, 2^409941009 is an apocalyptic number.

409941009 is the 20247-th square number.

409941009 is the 10124-th centered octagonal number.

It is an amenable number.

409941009 is a deficient number, since it is larger than the sum of its proper divisors (220664928).

409941009 is an equidigital number, since it uses as much as digits as its factorization.

409941009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 409941009 is about 742.8602530283.

Multiplying 409941009 by its sum of digits (36), we get a square (14757876324 = 121482²).

Multiplying 409941009 by its product of nonzero digits (11664), we get a square (4781551928976 = 2186676²).

The spelling of 409941009 in words is "four hundred nine million, nine hundred forty-one thousand, nine".