409993217 has 2 divisors, whose sum is σ = 409993218. Its totient is φ = 409993216.

The previous prime is 409993201. The next prime is 409993247. The reversal of 409993217 is 712399904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 339701761 + 70291456 = 18431^2 + 8384^2 .

It is a cyclic number.

It is not a de Polignac number, because 409993217 - 2⁴ = 409993201 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (409993247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204996608 + 204996609.

It is an arithmetic number, because the mean of its divisors is an integer number (204996609).

It is a Proth number, since it is equal to 391 ⋅ 2²⁰ + 1 and 391 < 2²⁰.

Almost surely, 2^409993217 is an apocalyptic number.

It is an amenable number.

409993217 is a deficient number, since it is larger than the sum of its proper divisors (1).

409993217 is an equidigital number, since it uses as much as digits as its factorization.

409993217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 409993217 is about 20248.2892363775. The cubic root of 409993217 is about 742.8917873231.

The spelling of 409993217 in words is "four hundred nine million, nine hundred ninety-three thousand, two hundred seventeen".