442428 has 48 divisors (see below), whose sum is σ = 1236480. Its totient is φ = 120384.

The previous prime is 442399. The next prime is 442439. The reversal of 442428 is 824244.

442428 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 442398 and 442407.

It is a congruent number.

It is an unprimeable number.

442428 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, 1818 + ... + 2046.

It is an arithmetic number, because the mean of its divisors is an integer number (25760).

2⁴⁴²⁴²⁸ 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 442428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618240).

442428 is an abundant number, since it is smaller than the sum of its proper divisors (794052).

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

442428 is a wasteful number, since it uses less digits than its factorization.

442428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 264 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 442428 is about 665.1526140669. The cubic root of 442428 is about 76.1986952195.

The spelling of 442428 in words is "four hundred forty-two thousand, four hundred twenty-eight".