442244512 has 72 divisors (see below), whose sum is σ = 916614468. Its totient is φ = 209986560.

The previous prime is 442244507. The next prime is 442244521. The reversal of 442244512 is 215442244.

It can be written as a sum of positive squares in 2 ways, for example, as 388720656 + 53523856 = 19716^2 + 7316^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2244798 + ... + 2244994.

Almost surely, 2^442244512 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 442244512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458307234).

442244512 is an abundant number, since it is smaller than the sum of its proper divisors (474369956).

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

442244512 is a wasteful number, since it uses less digits than its factorization.

442244512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 303 counting only the distinct ones).

The product of its digits is 10240, while the sum is 28.

The square root of 442244512 is about 21029.6103625341. The cubic root of 442244512 is about 761.8815981073.

Adding to 442244512 its reverse (215442244), we get a palindrome (657686756).

The spelling of 442244512 in words is "four hundred forty-two million, two hundred forty-four thousand, five hundred twelve".