409949009 has 2 divisors, whose sum is σ = 409949010. Its totient is φ = 409949008.

The previous prime is 409948969. The next prime is 409949021. The reversal of 409949009 is 900949904.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307230784 + 102718225 = 17528^2 + 10135^2 .

It is a cyclic number.

It is not a de Polignac number, because 409949009 - 2⁸ = 409948753 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (409949039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204974504 + 204974505.

It is an arithmetic number, because the mean of its divisors is an integer number (204974505).

Almost surely, 2^409949009 is an apocalyptic number.

It is an amenable number.

409949009 is a deficient number, since it is larger than the sum of its proper divisors (1).

409949009 is an equidigital number, since it uses as much as digits as its factorization.

409949009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 409949009 is about 20247.1975591685. The cubic root of 409949009 is about 742.8650853036.

The spelling of 409949009 in words is "four hundred nine million, nine hundred forty-nine thousand, nine".