442112 has 36 divisors (see below), whose sum is σ = 968856. Its totient is φ = 199680.

The previous prime is 442109. The next prime is 442121. The reversal of 442112 is 211244.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2738 + ... + 2894.

2⁴⁴²¹¹² 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 442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484428).

442112 is an abundant number, since it is smaller than the sum of its proper divisors (526744).

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

442112 is a wasteful number, since it uses less digits than its factorization.

442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its digits is 64, while the sum is 14.

The square root of 442112 is about 664.9150321658. The cubic root of 442112 is about 76.1805495004.

Adding to 442112 its reverse (211244), we get a palindrome (653356).

The spelling of 442112 in words is "four hundred forty-two thousand, one hundred twelve", and thus it is an iban number.