442423200 has 144 divisors (see below), whose sum is σ = 1458094176. Its totient is φ = 116505600.

The previous prime is 442423153. The next prime is 442423211. The reversal of 442423200 is 2324244.

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, 198090 + ... + 200310.

It is an arithmetic number, because the mean of its divisors is an integer number (10125654).

Almost surely, 2^442423200 is an apocalyptic number.

442423200 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 442423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729047088).

442423200 is an abundant number, since it is smaller than the sum of its proper divisors (1015670976).

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

442423200 is a wasteful number, since it uses less digits than its factorization.

442423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 442423200 is about 21033.8584192249. The cubic root of 442423200 is about 761.9841965295.

Adding to 442423200 its reverse (2324244), we get a palindrome (444747444).

The spelling of 442423200 in words is "four hundred forty-two million, four hundred twenty-three thousand, two hundred".