442020 has 48 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 114816.

The previous prime is 442019. The next prime is 442027. The reversal of 442020 is 20244.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 441987 and 442005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3111 + ... + 3249.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁴⁴²⁰²⁰ 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 442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

442020 is an abundant number, since it is smaller than the sum of its proper divisors (828060).

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

442020 is a wasteful number, since it uses less digits than its factorization.

442020 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 442020 is about 664.8458467946. The cubic root of 442020 is about 76.1752649445.

Adding to 442020 its reverse (20244), we get a palindrome (462264).

It can be divided in two parts, 4 and 42020, that added together give a palindrome (42024).

The spelling of 442020 in words is "four hundred forty-two thousand, twenty", and thus it is an iban number.