442442800 has 60 divisors (see below), whose sum is σ = 1065710560. Its totient is φ = 176520960.

The previous prime is 442442773. The next prime is 442442801. The reversal of 442442800 is 8244244.

It is not an unprimeable number, because it can be changed into a prime (442442801) 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 11 ways as a sum of consecutive naturals, for example, 184006 + ... + 186394.

Almost surely, 2^442442800 is an apocalyptic number.

442442800 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 442442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532855280).

442442800 is an abundant number, since it is smaller than the sum of its proper divisors (623267760).

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

442442800 is a wasteful number, since it uses less digits than its factorization.

442442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 442442800 is about 21034.3243295334. The cubic root of 442442800 is about 761.9954487045.

The spelling of 442442800 in words is "four hundred forty-two million, four hundred forty-two thousand, eight hundred".