442530144 has 144 divisors (see below), whose sum is σ = 1446052608. Its totient is φ = 125750016.

The previous prime is 442530133. The next prime is 442530191. The reversal of 442530144 is 441035244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457149 + ... + 458115.

It is an arithmetic number, because the mean of its divisors is an integer number (10042032).

Almost surely, 2^442530144 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 442530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723026304).

442530144 is an abundant number, since it is smaller than the sum of its proper divisors (1003522464).

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

442530144 is a wasteful number, since it uses less digits than its factorization.

442530144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 442530144 is about 21036.4004525489. The cubic root of 442530144 is about 762.0455880304.

Adding to 442530144 its reverse (441035244), we get a palindrome (883565388).

The spelling of 442530144 in words is "four hundred forty-two million, five hundred thirty thousand, one hundred forty-four".