442338 has 32 divisors (see below), whose sum is σ = 979776. Its totient is φ = 132288.

The previous prime is 442333. The next prime is 442363. The reversal of 442338 is 833244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4081 + ... + 4187.

It is an arithmetic number, because the mean of its divisors is an integer number (30618).

2⁴⁴²³³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888).

442338 is an abundant number, since it is smaller than the sum of its proper divisors (537438).

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

442338 is a wasteful number, since it uses less digits than its factorization.

442338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178.

The product of its digits is 2304, while the sum is 24.

The square root of 442338 is about 665.0849569792. The cubic root of 442338 is about 76.1935280152.

It can be divided in two parts, 442 and 338, that added together give a triangular number (780 = T₃₉).

The spelling of 442338 in words is "four hundred forty-two thousand, three hundred thirty-eight".