442537984 has 48 divisors (see below), whose sum is σ = 1011301200. Its totient is φ = 189652992.

The previous prime is 442537973. The next prime is 442538011. The reversal of 442537984 is 489735244.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1099 + ... + 29770.

It is an arithmetic number, because the mean of its divisors is an integer number (21068775).

Almost surely, 2^442537984 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 442537984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505650600).

442537984 is an abundant number, since it is smaller than the sum of its proper divisors (568763216).

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

442537984 is an equidigital number, since it uses as much as digits as its factorization.

442537984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30898 (or 30878 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The square root of 442537984 is about 21036.5867953905. The cubic root of 442537984 is about 762.0500882151.

The spelling of 442537984 in words is "four hundred forty-two million, five hundred thirty-seven thousand, nine hundred eighty-four".