417104 has 20 divisors (see below), whose sum is σ = 818400. Its totient is φ = 205920.

The previous prime is 417097. The next prime is 417113. The reversal of 417104 is 401714.

417104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

417104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1997 + ... + 2195.

It is an arithmetic number, because the mean of its divisors is an integer number (40920).

2⁴¹⁷¹⁰⁴ is an apocalyptic number.

It is an amenable number.

417104 is a deficient number, since it is larger than the sum of its proper divisors (401296).

417104 is a wasteful number, since it uses less digits than its factorization.

417104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 417104 is about 645.8358924680. The cubic root of 417104 is about 74.7162015411.

Adding to 417104 its reverse (401714), we get a palindrome (818818).

It can be divided in two parts, 41710 and 4, that added together give a palindrome (41714).

The spelling of 417104 in words is "four hundred seventeen thousand, one hundred four", and thus it is an iban number.