442584 has 40 divisors (see below), whose sum is σ = 1241460. Its totient is φ = 147312.

The previous prime is 442579. The next prime is 442601. The reversal of 442584 is 485244.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442584.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 307 + ... + 989.

442584 is a Friedman number, since it can be written as 54*(4+8^4*2), using all its digits and the basic arithmetic operations.

2⁴⁴²⁵⁸⁴ 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 442584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620730).

442584 is an abundant number, since it is smaller than the sum of its proper divisors (798876).

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

442584 is a wasteful number, since it uses less digits than its factorization.

442584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 688 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 442584 is about 665.2698700527. The cubic root of 442584 is about 76.2076500473.

It can be divided in two parts, 44 and 2584, that added together give a triangular number (2628 = T₇₂).

The spelling of 442584 in words is "four hundred forty-two thousand, five hundred eighty-four".