408848009 has 2 divisors, whose sum is σ = 408848010. Its totient is φ = 408848008.

The previous prime is 408847981. The next prime is 408848017. The reversal of 408848009 is 900848804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311628409 + 97219600 = 17653^2 + 9860^2 .

It is a cyclic number.

It is not a de Polignac number, because 408848009 - 2²⁰ = 407799433 is a prime.

It is not a weakly prime, because it can be changed into another prime (408848029) 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 as a sum of consecutive naturals, namely, 204424004 + 204424005.

It is an arithmetic number, because the mean of its divisors is an integer number (204424005).

Almost surely, 2^408848009 is an apocalyptic number.

It is an amenable number.

408848009 is a deficient number, since it is larger than the sum of its proper divisors (1).

408848009 is an equidigital number, since it uses as much as digits as its factorization.

408848009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 408848009 is about 20219.9903313528. The cubic root of 408848009 is about 742.1994514957.

The spelling of 408848009 in words is "four hundred eight million, eight hundred forty-eight thousand, nine".