404009657 has 2 divisors, whose sum is σ = 404009658. Its totient is φ = 404009656.

The previous prime is 404009653. The next prime is 404009659. The reversal of 404009657 is 756900404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 350588176 + 53421481 = 18724^2 + 7309^2 .

It is a cyclic number.

It is not a de Polignac number, because 404009657 - 2² = 404009653 is a prime.

Together with 404009659, 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 (404009653) 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, 202004828 + 202004829.

It is an arithmetic number, because the mean of its divisors is an integer number (202004829).

Almost surely, 2^404009657 is an apocalyptic number.

It is an amenable number.

404009657 is a deficient number, since it is larger than the sum of its proper divisors (1).

404009657 is an equidigital number, since it uses as much as digits as its factorization.

404009657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 404009657 is about 20099.9914676599. The cubic root of 404009657 is about 739.2600693700.

The spelling of 404009657 in words is "four hundred four million, nine thousand, six hundred fifty-seven".