409093073 has 2 divisors, whose sum is σ = 409093074. Its totient is φ = 409093072.

The previous prime is 409093051. The next prime is 409093093. The reversal of 409093073 is 370390904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271195024 + 137898049 = 16468^2 + 11743^2 .

It is a cyclic number.

It is not a de Polignac number, because 409093073 - 2¹⁰ = 409092049 is a prime.

It is equal to p_21795065 and since 409093073 and 21795065 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 (409093043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204546536 + 204546537.

It is an arithmetic number, because the mean of its divisors is an integer number (204546537).

Almost surely, 2^409093073 is an apocalyptic number.

It is an amenable number.

409093073 is a deficient number, since it is larger than the sum of its proper divisors (1).

409093073 is an equidigital number, since it uses as much as digits as its factorization.

409093073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 409093073 is about 20226.0493670909. The cubic root of 409093073 is about 742.3477136318.

The spelling of 409093073 in words is "four hundred nine million, ninety-three thousand, seventy-three".