417959 has 2 divisors, whose sum is σ = 417960. Its totient is φ = 417958.

The previous prime is 417953. The next prime is 417961. The reversal of 417959 is 959714.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 417959 - 2¹² = 413863 is a prime.

Together with 417961, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 417959.

It is not a weakly prime, because it can be changed into another prime (417953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208979 + 208980.

It is an arithmetic number, because the mean of its divisors is an integer number (208980).

2⁴¹⁷⁹⁵⁹ is an apocalyptic number.

417959 is a deficient number, since it is larger than the sum of its proper divisors (1).

417959 is an equidigital number, since it uses as much as digits as its factorization.

417959 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11340, while the sum is 35.

The square root of 417959 is about 646.4974864607. The cubic root of 417959 is about 74.7672189949.

It can be divided in two parts, 41 and 7959, that added together give a cube (8000 = 20³).

The spelling of 417959 in words is "four hundred seventeen thousand, nine hundred fifty-nine".