442806 has 32 divisors (see below), whose sum is σ = 1091328. Its totient is φ = 116640.

The previous prime is 442789. The next prime is 442807. The reversal of 442806 is 608244.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442806.

It is not an unprimeable number, because it can be changed into a prime (442807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (34104).

2⁴⁴²⁸⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545664).

442806 is an abundant number, since it is smaller than the sum of its proper divisors (648522).

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

442806 is a wasteful number, since it uses less digits than its factorization.

442806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 442806 is about 665.4366987175. The cubic root of 442806 is about 76.2203898288.

It can be divided in two parts, 44 and 2806, that added together give a triangular number (2850 = T₇₅).

The spelling of 442806 in words is "four hundred forty-two thousand, eight hundred six".