417681 has 12 divisors (see below), whose sum is σ = 658320. Its totient is φ = 253080.

The previous prime is 417671. The next prime is 417691. The reversal of 417681 is 186714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (417671) and next prime (417691).

It is not a de Polignac number, because 417681 - 2⁵ = 417649 is a prime.

It is a super-2 number, since 2×417681² = 348914835522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (417631) 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 11 ways as a sum of consecutive naturals, for example, 2011 + ... + 2208.

It is an arithmetic number, because the mean of its divisors is an integer number (54860).

2⁴¹⁷⁶⁸¹ is an apocalyptic number.

It is an amenable number.

417681 is a deficient number, since it is larger than the sum of its proper divisors (240639).

417681 is a wasteful number, since it uses less digits than its factorization.

417681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4233 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 417681 is about 646.2824459940. The cubic root of 417681 is about 74.7506385034.

The spelling of 417681 in words is "four hundred seventeen thousand, six hundred eighty-one".