442008 has 48 divisors (see below), whose sum is σ = 1369680. Its totient is φ = 126144.

The previous prime is 442007. The next prime is 442009. The reversal of 442008 is 800244.

It is a happy number.

442008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (442007) and next prime (442009).

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 (442003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66 + ... + 942.

It is an arithmetic number, because the mean of its divisors is an integer number (28535).

2⁴⁴²⁰⁰⁸ 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 442008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684840).

442008 is an abundant number, since it is smaller than the sum of its proper divisors (927672).

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

442008 is a wasteful number, since it uses less digits than its factorization.

442008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 442008 is about 664.8368220849. The cubic root of 442008 is about 76.1745756005.

The spelling of 442008 in words is "four hundred forty-two thousand, eight".