442300200 has 96 divisors (see below), whose sum is σ = 1383914400. Its totient is φ = 116847360.

The previous prime is 442300181. The next prime is 442300217. The reversal of 442300200 is 2003244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 442300200.

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, 62019 + ... + 68781.

It is an arithmetic number, because the mean of its divisors is an integer number (14415775).

Almost surely, 2^442300200 is an apocalyptic number.

442300200 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 442300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691957200).

442300200 is an abundant number, since it is smaller than the sum of its proper divisors (941614200).

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

442300200 is a wasteful number, since it uses less digits than its factorization.

442300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6891 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 442300200 is about 21030.9343587012. The cubic root of 442300200 is about 761.9135758033.

Adding to 442300200 its reverse (2003244), we get a palindrome (444303444).

The spelling of 442300200 in words is "four hundred forty-two million, three hundred thousand, two hundred".