442222224 has 160 divisors (see below), whose sum is σ = 1263419136. Its totient is φ = 132710400.

The previous prime is 442222199. The next prime is 442222229. The reversal of 442222224 is 422222244.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 442222194 and 442222203.

It is not an unprimeable number, because it can be changed into a prime (442222229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2928549 + ... + 2928699.

Almost surely, 2^442222224 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 442222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631709568).

442222224 is an abundant number, since it is smaller than the sum of its proper divisors (821196912).

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

442222224 is a wasteful number, since it uses less digits than its factorization.

442222224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 442222224 is about 21029.0804363862. The cubic root of 442222224 is about 761.8687989265.

Adding to 442222224 its reverse (422222244), we get a palindrome (864444468).

The spelling of 442222224 in words is "four hundred forty-two million, two hundred twenty-two thousand, two hundred twenty-four".