442188 has 36 divisors (see below), whose sum is σ = 1140048. Its totient is φ = 144480.

The previous prime is 442181. The next prime is 442193. The reversal of 442188 is 881244.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (442181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2470 + ... + 2642.

It is an arithmetic number, because the mean of its divisors is an integer number (31668).

2⁴⁴²¹⁸⁸ 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 442188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570024).

442188 is an abundant number, since it is smaller than the sum of its proper divisors (697860).

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

442188 is a wasteful number, since it uses less digits than its factorization.

442188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 442188 is about 664.9721798692. The cubic root of 442188 is about 76.1849144502.

It can be divided in two parts, 442 and 188, that added together give a triangular number (630 = T₃₅).

The spelling of 442188 in words is "four hundred forty-two thousand, one hundred eighty-eight".