442745800 has 96 divisors (see below), whose sum is σ = 1180638720. Its totient is φ = 151257600.

The previous prime is 442745789. The next prime is 442745819. The reversal of 442745800 is 8547244.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729097 + ... + 729703.

It is an arithmetic number, because the mean of its divisors is an integer number (12298320).

Almost surely, 2^442745800 is an apocalyptic number.

442745800 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 442745800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590319360).

442745800 is an abundant number, since it is smaller than the sum of its proper divisors (737892920).

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

442745800 is a wasteful number, since it uses less digits than its factorization.

442745800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 442745800 is about 21041.5256100883. The cubic root of 442745800 is about 762.1693558815.

The spelling of 442745800 in words is "four hundred forty-two million, seven hundred forty-five thousand, eight hundred".