442320 has 80 divisors (see below), whose sum is σ = 1458240. Its totient is φ = 110592.

The previous prime is 442319. The next prime is 442327. The reversal of 442320 is 23244.

It is a happy number.

442320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 442320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4512 + ... + 4608.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2⁴⁴²³²⁰ is an apocalyptic number.

442320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729120).

442320 is an abundant number, since it is smaller than the sum of its proper divisors (1015920).

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

442320 is a wasteful number, since it uses less digits than its factorization.

442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 442320 is about 665.0714247357. The cubic root of 442320 is about 76.1924944902.

Adding to 442320 its reverse (23244), we get a palindrome (465564).

It can be divided in two parts, 4 and 42320, that added together give a palindrome (42324).

The spelling of 442320 in words is "four hundred forty-two thousand, three hundred twenty", and thus it is an iban number.