412188 has 36 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 117600.

The previous prime is 412187. The next prime is 412189. The reversal of 412188 is 881214.

It is an interprime number because it is at equal distance from previous prime (412187) and next prime (412189).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412187) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2⁴¹²¹⁸⁸ 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 412188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196).

412188 is an abundant number, since it is smaller than the sum of its proper divisors (708204).

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

412188 is a wasteful number, since it uses less digits than its factorization.

412188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 713 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 412188 is about 642.0186913167. The cubic root of 412188 is about 74.4215049409.

Subtracting from 412188 its sum of digits (24), we obtain a square (412164 = 642²).

The spelling of 412188 in words is "four hundred twelve thousand, one hundred eighty-eight".