442807848 has 96 divisors (see below), whose sum is σ = 1379064960. Its totient is φ = 125735040.

The previous prime is 442807847. The next prime is 442807861. The reversal of 442807848 is 848708244.

It is a happy number.

It is a Cunningham number, because it is equal to 21043²-1.

It is a super-2 number, since 2×442807848² = 392157580500782208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442807843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81538 + ... + 86798.

It is an arithmetic number, because the mean of its divisors is an integer number (14365260).

Almost surely, 2^442807848 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 442807848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689532480).

442807848 is an abundant number, since it is smaller than the sum of its proper divisors (936257112).

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

442807848 is a wasteful number, since it uses less digits than its factorization.

442807848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 442807848 is about 21042.9999762391. Note that the first 4 decimals coincide. The cubic root of 442807848 is about 762.2049586098.

The spelling of 442807848 in words is "four hundred forty-two million, eight hundred seven thousand, eight hundred forty-eight".