417116 has 12 divisors (see below), whose sum is σ = 834288. Its totient is φ = 178752.

The previous prime is 417113. The next prime is 417119. The reversal of 417116 is 611714.

417116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (417113) and next prime (417119).

417116 is an admirable number.

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 417116.

It is not an unprimeable number, because it can be changed into a prime (417113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7421 + ... + 7476.

It is an arithmetic number, because the mean of its divisors is an integer number (69524).

2⁴¹⁷¹¹⁶ is an apocalyptic number.

It is an amenable number.

417116 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.

417116 is a wasteful number, since it uses less digits than its factorization.

417116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14908 (or 14906 counting only the distinct ones).

The product of its digits is 168, while the sum is 20.

The square root of 417116 is about 645.8451826870. The cubic root of 417116 is about 74.7169180577.

The spelling of 417116 in words is "four hundred seventeen thousand, one hundred sixteen".