842448200 has 96 divisors (see below), whose sum is σ = 2150487360. Its totient is φ = 304377600.

The previous prime is 842448181. The next prime is 842448223. The reversal of 842448200 is 2844248.

842448200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 366254 + ... + 368546.

It is an arithmetic number, because the mean of its divisors is an integer number (22400910).

Almost surely, 2^842448200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842448200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075243680).

842448200 is an abundant number, since it is smaller than the sum of its proper divisors (1308039160).

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

842448200 is a wasteful number, since it uses less digits than its factorization.

842448200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 842448200 is about 29024.9582256375. The cubic root of 842448200 is about 944.4545623932.

The spelling of 842448200 in words is "eight hundred forty-two million, four hundred forty-eight thousand, two hundred".