417966 has 8 divisors (see below), whose sum is σ = 835944. Its totient is φ = 139320.

The previous prime is 417961. The next prime is 417983. The reversal of 417966 is 669714.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

417966 is an admirable number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34825 + ... + 34836.

It is an arithmetic number, because the mean of its divisors is an integer number (104493).

2⁴¹⁷⁹⁶⁶ is an apocalyptic number.

417966 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417966 is a wasteful number, since it uses less digits than its factorization.

417966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69666.

The product of its digits is 9072, while the sum is 33.

The square root of 417966 is about 646.5029002255. The cubic root of 417966 is about 74.7676363944.

The spelling of 417966 in words is "four hundred seventeen thousand, nine hundred sixty-six".