412832 has 48 divisors (see below), whose sum is σ = 987840. Its totient is φ = 165888.

The previous prime is 412831. The next prime is 412849. The reversal of 412832 is 238214.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (412831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4208 + ... + 4304.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2⁴¹²⁸³² 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 412832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

412832 is an abundant number, since it is smaller than the sum of its proper divisors (575008).

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

412832 is a wasteful number, since it uses less digits than its factorization.

412832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 412832 is about 642.5200385980. The cubic root of 412832 is about 74.4602433404.

The spelling of 412832 in words is "four hundred twelve thousand, eight hundred thirty-two".