409598081 has 2 divisors, whose sum is σ = 409598082. Its totient is φ = 409598080.

The previous prime is 409598023. The next prime is 409598083. The reversal of 409598081 is 180895904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215943025 + 193655056 = 14695^2 + 13916^2 .

It is a cyclic number.

It is not a de Polignac number, because 409598081 - 2¹⁸ = 409335937 is a prime.

It is a super-2 number, since 2×409598081² = 335541175917765122, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 409598083, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (409598083) 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 as a sum of consecutive naturals, namely, 204799040 + 204799041.

It is an arithmetic number, because the mean of its divisors is an integer number (204799041).

Almost surely, 2^409598081 is an apocalyptic number.

It is an amenable number.

409598081 is a deficient number, since it is larger than the sum of its proper divisors (1).

409598081 is an equidigital number, since it uses as much as digits as its factorization.

409598081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 409598081 is about 20238.5296155625. The cubic root of 409598081 is about 742.6530535834.

The spelling of 409598081 in words is "four hundred nine million, five hundred ninety-eight thousand, eighty-one".