199118400 has 168 divisors, whose sum is σ = 703746624. Its totient is φ = 48998400.

The previous prime is 199118389. The next prime is 199118401. The reversal of 199118400 is 4811991.

199118400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (199118401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60805 + ... + 63995.

It is an arithmetic number, because the mean of its divisors is an integer number (4188968).

Almost surely, 2^199118400 is an apocalyptic number.

199118400 is a gapful number since it is divisible by the number (10) 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 199118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351873312).

199118400 is an abundant number, since it is smaller than the sum of its proper divisors (504628224).

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

199118400 is a wasteful number, since it uses less digits than its factorization.

199118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 199118400 is about 14110.9319323707. The cubic root of 199118400 is about 583.9430106396.

The spelling of 199118400 in words is "one hundred ninety-nine million, one hundred eighteen thousand, four hundred".