417672 has 24 divisors (see below), whose sum is σ = 1131390. Its totient is φ = 139200.

The previous prime is 417671. The next prime is 417691. The reversal of 417672 is 276714.

417672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 236196 + 181476 = 486^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (417671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2829 + ... + 2972.

2⁴¹⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

417672 is an abundant number, since it is smaller than the sum of its proper divisors (713718).

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

417672 is a wasteful number, since it uses less digits than its factorization.

417672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5813 (or 5806 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 417672 is about 646.2754830566. The cubic root of 417672 is about 74.7501016020.

Adding to 417672 its product of digits (2352), we get a palindrome (420024).

It can be divided in two parts, 417 and 672, that added together give a square (1089 = 33²).

The spelling of 417672 in words is "four hundred seventeen thousand, six hundred seventy-two".