408681017 has 2 divisors, whose sum is σ = 408681018. Its totient is φ = 408681016.

The previous prime is 408681011. The next prime is 408681019. The reversal of 408681017 is 710186804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 396647056 + 12033961 = 19916^2 + 3469^2 .

It is a cyclic number.

It is not a de Polignac number, because 408681017 - 2⁶ = 408680953 is a prime.

Together with 408681019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (408681011) 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, 204340508 + 204340509.

It is an arithmetic number, because the mean of its divisors is an integer number (204340509).

Almost surely, 2^408681017 is an apocalyptic number.

It is an amenable number.

408681017 is a deficient number, since it is larger than the sum of its proper divisors (1).

408681017 is an equidigital number, since it uses as much as digits as its factorization.

408681017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 408681017 is about 20215.8605307813. The cubic root of 408681017 is about 742.0983884712.

The spelling of 408681017 in words is "four hundred eight million, six hundred eighty-one thousand, seventeen".