442884384 has 72 divisors (see below), whose sum is σ = 1286288640. Its totient is φ = 144482688.

The previous prime is 442884367. The next prime is 442884457. The reversal of 442884384 is 483488244.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×442884384² = 392293155182118912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2824 + ... + 29895.

It is an arithmetic number, because the mean of its divisors is an integer number (17865120).

Almost surely, 2^442884384 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 442884384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643144320).

442884384 is an abundant number, since it is smaller than the sum of its proper divisors (843404256).

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

442884384 is a wasteful number, since it uses less digits than its factorization.

442884384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32782 (or 32771 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 442884384 is about 21044.8184596589. The cubic root of 442884384 is about 762.2488698746.

The spelling of 442884384 in words is "four hundred forty-two million, eight hundred eighty-four thousand, three hundred eighty-four".