408599993 has 2 divisors, whose sum is σ = 408599994. Its totient is φ = 408599992.

The previous prime is 408599941. The next prime is 408600011. The reversal of 408599993 is 399995804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379353529 + 29246464 = 19477^2 + 5408^2 .

It is a cyclic number.

It is not a de Polignac number, because 408599993 - 2²⁸ = 140164537 is a prime.

It is not a weakly prime, because it can be changed into another prime (408599923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204299996 + 204299997.

It is an arithmetic number, because the mean of its divisors is an integer number (204299997).

Almost surely, 2^408599993 is an apocalyptic number.

It is an amenable number.

408599993 is a deficient number, since it is larger than the sum of its proper divisors (1).

408599993 is an equidigital number, since it uses as much as digits as its factorization.

408599993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3149280, while the sum is 56.

The square root of 408599993 is about 20213.8564603591. The cubic root of 408599993 is about 742.0493430858.

The spelling of 408599993 in words is "four hundred eight million, five hundred ninety-nine thousand, nine hundred ninety-three".