413172 has 36 divisors (see below), whose sum is σ = 1092000. Its totient is φ = 131472.

The previous prime is 413167. The next prime is 413183. The reversal of 413172 is 271314.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×413172² = 341422203168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

413172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 579 + ... + 1077.

2⁴¹³¹⁷² 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 413172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546000).

413172 is an abundant number, since it is smaller than the sum of its proper divisors (678828).

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

413172 is a wasteful number, since it uses less digits than its factorization.

413172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 527 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 413172 is about 642.7845673319. The cubic root of 413172 is about 74.4806790430.

Adding to 413172 its reverse (271314), we get a palindrome (684486).

It can be divided in two parts, 413 and 172, that added together give a palindrome (585).

The spelling of 413172 in words is "four hundred thirteen thousand, one hundred seventy-two".