409119993 has 12 divisors (see below), whose sum is σ = 596803428. Its totient is φ = 270045600.

The previous prime is 409119979. The next prime is 409120009. The reversal of 409119993 is 399911904.

It can be written as a sum of positive squares in 2 ways, for example, as 354832569 + 54287424 = 18837^2 + 7368^2 .

It is not a de Polignac number, because 409119993 - 2¹⁸ = 408857849 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (409119923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224130 + ... + 225947.

It is an arithmetic number, because the mean of its divisors is an integer number (49733619).

Almost surely, 2^409119993 is an apocalyptic number.

It is an amenable number.

409119993 is a deficient number, since it is larger than the sum of its proper divisors (187683435).

409119993 is a wasteful number, since it uses less digits than its factorization.

409119993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450184 (or 450181 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 409119993 is about 20226.7148345944. The cubic root of 409119993 is about 742.3639964481.

The spelling of 409119993 in words is "four hundred nine million, one hundred nineteen thousand, nine hundred ninety-three".