442000200 has 96 divisors (see below), whose sum is σ = 1429819200. Its totient is φ = 112738560.

The previous prime is 442000199. The next prime is 442000219. The reversal of 442000200 is 2000244.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 2215 + ... + 29814.

It is an arithmetic number, because the mean of its divisors is an integer number (14893950).

Almost surely, 2^442000200 is an apocalyptic number.

442000200 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 442000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714909600).

442000200 is an abundant number, since it is smaller than the sum of its proper divisors (987819000).

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

442000200 is a wasteful number, since it uses less digits than its factorization.

442000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32071 (or 32062 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 442000200 is about 21023.8007981430. The cubic root of 442000200 is about 761.7412752024.

Adding to 442000200 its reverse (2000244), we get a palindrome (444000444).

The spelling of 442000200 in words is "four hundred forty-two million, two hundred", and thus it is an aban number.