442241844 has 48 divisors (see below), whose sum is σ = 1133852160. Its totient is φ = 133043040.

The previous prime is 442241843. The next prime is 442241869. The reversal of 442241844 is 448142244.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442241843) 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, 6297 + ... + 30399.

It is an arithmetic number, because the mean of its divisors is an integer number (23621920).

Almost surely, 2^442241844 is an apocalyptic number.

442241844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442241844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566926080).

442241844 is an abundant number, since it is smaller than the sum of its proper divisors (691610316).

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

442241844 is a wasteful number, since it uses less digits than its factorization.

442241844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24260 (or 24258 counting only the distinct ones).

The product of its digits is 32768, while the sum is 33.

The square root of 442241844 is about 21029.5469280724. The cubic root of 442241844 is about 761.8800659954.

The spelling of 442241844 in words is "four hundred forty-two million, two hundred forty-one thousand, eight hundred forty-four".