409964041 has 2 divisors, whose sum is σ = 409964042. Its totient is φ = 409964040.

The previous prime is 409964017. The next prime is 409964047. The reversal of 409964041 is 140469904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 381030400 + 28933641 = 19520^2 + 5379^2 .

It is a cyclic number.

It is not a de Polignac number, because 409964041 - 2⁷ = 409963913 is a prime.

It is not a weakly prime, because it can be changed into another prime (409964047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204982020 + 204982021.

It is an arithmetic number, because the mean of its divisors is an integer number (204982021).

Almost surely, 2^409964041 is an apocalyptic number.

It is an amenable number.

409964041 is a deficient number, since it is larger than the sum of its proper divisors (1).

409964041 is an equidigital number, since it uses as much as digits as its factorization.

409964041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 409964041 is about 20247.5687676323. The cubic root of 409964041 is about 742.8741649787.

The spelling of 409964041 in words is "four hundred nine million, nine hundred sixty-four thousand, forty-one".