199898400 has 288 divisors, whose sum is σ = 721828800. Its totient is φ = 47738880.

The previous prime is 199898327. The next prime is 199898401. The reversal of 199898400 is 4898991.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 199898400.

It is not an unprimeable number, because it can be changed into a prime (199898401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1341526 + ... + 1341674.

It is an arithmetic number, because the mean of its divisors is an integer number (2506350).

Almost surely, 2^199898400 is an apocalyptic number.

199898400 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 199898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360914400).

199898400 is an abundant number, since it is smaller than the sum of its proper divisors (521930400).

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

199898400 is a wasteful number, since it uses less digits than its factorization.

199898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 199898400 is about 14138.5430649696. The cubic root of 199898400 is about 584.7045041352.

The spelling of 199898400 in words is "one hundred ninety-nine million, eight hundred ninety-eight thousand, four hundred".