442884 has 48 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 127488.

The previous prime is 442879. The next prime is 442903. The reversal of 442884 is 488244.

It is a super-2 number, since 2×442884² = 392292474912, which contains 22 as substring.

It is a d-powerful number, because it can be written as 4 + 4⁷ + 8³ + 2¹⁷ + 8⁵ + 4⁹ .

It is an unprimeable number.

442884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2569 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2⁴⁴²⁸⁸⁴ 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 442884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704).

442884 is an abundant number, since it is smaller than the sum of its proper divisors (742524).

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

442884 is a wasteful number, since it uses less digits than its factorization.

442884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 442884 is about 665.4953042659. The cubic root of 442884 is about 76.2248649574.

It can be divided in two parts, 442 and 884, that added together give a triangular number (1326 = T₅₁).

The spelling of 442884 in words is "four hundred forty-two thousand, eight hundred eighty-four".