412182 has 32 divisors (see below), whose sum is σ = 972000. Its totient is φ = 129024.

The previous prime is 412171. The next prime is 412187. The reversal of 412182 is 281214.

It is a super-2 number, since 2×412182² = 339788002248, 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 not an unprimeable number, because it can be changed into a prime (412187) by changing a digit.

412182 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 15 ways as a sum of consecutive naturals, for example, 694 + ... + 1142.

It is an arithmetic number, because the mean of its divisors is an integer number (30375).

2⁴¹²¹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486000).

412182 is an abundant number, since it is smaller than the sum of its proper divisors (559818).

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

412182 is a wasteful number, since it uses less digits than its factorization.

412182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 412182 is about 642.0140185385. The cubic root of 412182 is about 74.4211438344.

Subtracting from 412182 its sum of digits (18), we obtain a square (412164 = 642²).

Adding to 412182 its reverse (281214), we get a palindrome (693396).

The spelling of 412182 in words is "four hundred twelve thousand, one hundred eighty-two".