409205057 has 2 divisors, whose sum is σ = 409205058. Its totient is φ = 409205056.

The previous prime is 409205009. The next prime is 409205059. The reversal of 409205057 is 750502904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262407601 + 146797456 = 16199^2 + 12116^2 .

It is a cyclic number.

It is not a de Polignac number, because 409205057 - 2²⁶ = 342096193 is a prime.

Together with 409205059, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_21800588 and since 409205057 and 21800588 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (409205059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204602528 + 204602529.

It is an arithmetic number, because the mean of its divisors is an integer number (204602529).

Almost surely, 2^409205057 is an apocalyptic number.

It is an amenable number.

409205057 is a deficient number, since it is larger than the sum of its proper divisors (1).

409205057 is an equidigital number, since it uses as much as digits as its factorization.

409205057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 409205057 is about 20228.8174889191. The cubic root of 409205057 is about 742.4154435183.

The spelling of 409205057 in words is "four hundred nine million, two hundred five thousand, fifty-seven".