442144 has 24 divisors (see below), whose sum is σ = 894348. Its totient is φ = 215040.

The previous prime is 442139. The next prime is 442147. The reversal of 442144 is 441244.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 67600 = 612^2 + 260^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (442147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1144 + ... + 1480.

2⁴⁴²¹⁴⁴ 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 442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447174).

442144 is an abundant number, since it is smaller than the sum of its proper divisors (452204).

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

442144 is a wasteful number, since it uses less digits than its factorization.

442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its digits is 512, while the sum is 19.

The square root of 442144 is about 664.9390949553. The cubic root of 442144 is about 76.1823874349.

Adding to 442144 its reverse (441244), we get a palindrome (883388).

Subtracting from 442144 its reverse (441244), we obtain a square (900 = 30²).

It can be divided in two parts, 4421 and 44, that added together give a triangular number (4465 = T₉₄).

The spelling of 442144 in words is "four hundred forty-two thousand, one hundred forty-four", and thus it is an iban number.