442242112 has 56 divisors (see below), whose sum is σ = 977722200. Its totient is φ = 197062656.

The previous prime is 442242077. The next prime is 442242133. The reversal of 442242112 is 211242244.

It can be written as a sum of positive squares in 4 ways, for example, as 18870336 + 423371776 = 4344^2 + 20576^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14964 + ... + 33292.

It is an arithmetic number, because the mean of its divisors is an integer number (17459325).

Almost surely, 2^442242112 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 442242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488861100).

442242112 is an abundant number, since it is smaller than the sum of its proper divisors (535480088).

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

442242112 is a wasteful number, since it uses less digits than its factorization.

442242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18383 (or 18373 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 442242112 is about 21029.5533000585. The cubic root of 442242112 is about 761.8802198960.

Adding to 442242112 its reverse (211242244), we get a palindrome (653484356).

The spelling of 442242112 in words is "four hundred forty-two million, two hundred forty-two thousand, one hundred twelve".