405577409 has 2 divisors, whose sum is σ = 405577410. Its totient is φ = 405577408.

The previous prime is 405577399. The next prime is 405577411. The reversal of 405577409 is 904775504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 278789809 + 126787600 = 16697^2 + 11260^2 .

It is a cyclic number.

It is not a de Polignac number, because 405577409 - 2²⁴ = 388800193 is a prime.

It is a Sophie Germain prime.

Together with 405577411, 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 (405537409) 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, 202788704 + 202788705.

It is an arithmetic number, because the mean of its divisors is an integer number (202788705).

Almost surely, 2^405577409 is an apocalyptic number.

It is an amenable number.

405577409 is a deficient number, since it is larger than the sum of its proper divisors (1).

405577409 is an equidigital number, since it uses as much as digits as its factorization.

405577409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 405577409 is about 20138.9525298611. The cubic root of 405577409 is about 740.2150634952.

The spelling of 405577409 in words is "four hundred five million, five hundred seventy-seven thousand, four hundred nine".