417688561 has 2 divisors, whose sum is σ = 417688562. Its totient is φ = 417688560.

The previous prime is 417688559. The next prime is 417688573. The reversal of 417688561 is 165886714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220819600 + 196868961 = 14860^2 + 14031^2 .

It is a cyclic number.

It is not a de Polignac number, because 417688561 - 2¹ = 417688559 is a prime.

Together with 417688559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (417688501) 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, 208844280 + 208844281.

It is an arithmetic number, because the mean of its divisors is an integer number (208844281).

Almost surely, 2^417688561 is an apocalyptic number.

It is an amenable number.

417688561 is a deficient number, since it is larger than the sum of its proper divisors (1).

417688561 is an equidigital number, since it uses as much as digits as its factorization.

417688561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 322560, while the sum is 46.

The square root of 417688561 is about 20437.4303913188. The cubic root of 417688561 is about 747.5108955433.

The spelling of 417688561 in words is "four hundred seventeen million, six hundred eighty-eight thousand, five hundred sixty-one".