442816 has 56 divisors (see below), whose sum is σ = 1042416. Its totient is φ = 184320.

The previous prime is 442807. The next prime is 442817. The reversal of 442816 is 618244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442817) by changing a digit.

442816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11950 + ... + 11986.

2⁴⁴²⁸¹⁶ 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 442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521208).

442816 is an abundant number, since it is smaller than the sum of its proper divisors (599600).

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

442816 is a wasteful number, since it uses less digits than its factorization.

442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 442816 is about 665.4442125378. Note that the first 3 decimals coincide. The cubic root of 442816 is about 76.2209635926.

It can be divided in two parts, 4428 and 16, that added together give a palindrome (4444).

The spelling of 442816 in words is "four hundred forty-two thousand, eight hundred sixteen".