442224 has 60 divisors (see below), whose sum is σ = 1286376. Its totient is φ = 141696.

The previous prime is 442217. The next prime is 442229. The reversal of 442224 is 422244.

442224 is a `hidden beast` number, since 442 + 224 = 666.

442224 is nontrivially palindromic in base 11.

It is a Cunningham number, because it is equal to 665²-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 442197 and 442206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442229) by changing a digit.

442224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5287 + ... + 5369.

2⁴⁴²²²⁴ 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 442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643188).

442224 is an abundant number, since it is smaller than the sum of its proper divisors (844152).

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

442224 is a wasteful number, since it uses less digits than its factorization.

442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its digits is 512, while the sum is 18.

The square root of 442224 is about 664.9992481199. Note that the first 3 decimals coincide. The cubic root of 442224 is about 76.1869818834.

Adding to 442224 its reverse (422244), we get a palindrome (864468).

It can be divided in two parts, 442 and 224, that added together give a palindrome (666).

The spelling of 442224 in words is "four hundred forty-two thousand, two hundred twenty-four", and thus it is an iban number.