442532132 has 72 divisors (see below), whose sum is σ = 923691384. Its totient is φ = 184923648.

The previous prime is 442532107. The next prime is 442532143. The reversal of 442532132 is 231235244.

It can be written as a sum of positive squares in 4 ways, for example, as 158407396 + 284124736 = 12586^2 + 16856^2 .

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, 2246258 + ... + 2246454.

It is an arithmetic number, because the mean of its divisors is an integer number (12829047).

Almost surely, 2^442532132 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 442532132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461845692).

442532132 is an abundant number, since it is smaller than the sum of its proper divisors (481159252).

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

442532132 is a wasteful number, since it uses less digits than its factorization.

442532132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 442532132 is about 21036.4477039257. The cubic root of 442532132 is about 762.0467291537.

Adding to 442532132 its reverse (231235244), we get a palindrome (673767376).

The spelling of 442532132 in words is "four hundred forty-two million, five hundred thirty-two thousand, one hundred thirty-two".