442200200 has 96 divisors (see below), whose sum is σ = 1128443400. Its totient is φ = 160143360.

The previous prime is 442200193. The next prime is 442200217. The reversal of 442200200 is 2002244.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 17757796 + 424442404 = 4214^2 + 20602^2 .

It is an unprimeable number.

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, 136196 + ... + 139404.

Almost surely, 2^442200200 is an apocalyptic number.

442200200 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 442200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564221700).

442200200 is an abundant number, since it is smaller than the sum of its proper divisors (686243200).

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

442200200 is a wasteful number, since it uses less digits than its factorization.

442200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 442200200 is about 21028.5567740632. The cubic root of 442200200 is about 761.8561509289.

Adding to 442200200 its reverse (2002244), we get a palindrome (444202444).

The spelling of 442200200 in words is "four hundred forty-two million, two hundred thousand, two hundred".