417172 has 24 divisors (see below), whose sum is σ = 854784. Its totient is φ = 174432.

The previous prime is 417169. The next prime is 417173. The reversal of 417172 is 271714.

417172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417173) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1158 + ... + 1474.

It is an arithmetic number, because the mean of its divisors is an integer number (35616).

2⁴¹⁷¹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427392).

417172 is an abundant number, since it is smaller than the sum of its proper divisors (437612).

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

417172 is a wasteful number, since it uses less digits than its factorization.

417172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its digits is 392, while the sum is 22.

The square root of 417172 is about 645.8885352752. Note that the first 3 decimals coincide. The cubic root of 417172 is about 74.7202616201.

Adding to 417172 its reverse (271714), we get a palindrome (688886).

The spelling of 417172 in words is "four hundred seventeen thousand, one hundred seventy-two", and thus it is an iban number.