409596993 has 40 divisors (see below), whose sum is σ = 676807208. Its totient is φ = 245223936.

The previous prime is 409596947. The next prime is 409597007. The reversal of 409596993 is 399695904.

409596993 is a `hidden beast` number, since 40 + 9 + 596 + 9 + 9 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 408969729 = 792^2 + 20223^2 .

It is not a de Polignac number, because 409596993 - 2¹³ = 409588801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409596193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33705 + ... + 44217.

Almost surely, 2^409596993 is an apocalyptic number.

It is an amenable number.

409596993 is a deficient number, since it is larger than the sum of its proper divisors (267210215).

409596993 is a wasteful number, since it uses less digits than its factorization.

409596993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10575 (or 10566 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 409596993 is about 20238.5027361216. The cubic root of 409596993 is about 742.6523960223.

The spelling of 409596993 in words is "four hundred nine million, five hundred ninety-six thousand, nine hundred ninety-three".