412132 has 24 divisors (see below), whose sum is σ = 846720. Its totient is φ = 171840.

The previous prime is 412127. The next prime is 412133. The reversal of 412132 is 231214.

412132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412133) 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, 969 + ... + 1327.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁴¹²¹³² 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 412132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

412132 is an abundant number, since it is smaller than the sum of its proper divisors (434588).

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

412132 is a wasteful number, since it uses less digits than its factorization.

412132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its digits is 48, while the sum is 13.

The square root of 412132 is about 641.9750773979. The cubic root of 412132 is about 74.4181344780.

Adding to 412132 its reverse (231214), we get a palindrome (643346).

The spelling of 412132 in words is "four hundred twelve thousand, one hundred thirty-two".