199399200 has 576 divisors, whose sum is σ = 881943552. Its totient is φ = 37785600.

The previous prime is 199399181. The next prime is 199399201. The reversal of 199399200 is 2993991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199399201) 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 95 ways as a sum of consecutive naturals, for example, 2402359 + ... + 2402441.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 2^199399200 is an apocalyptic number.

199399200 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 199399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440971776).

199399200 is an abundant number, since it is smaller than the sum of its proper divisors (682544352).

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

199399200 is a wasteful number, since it uses less digits than its factorization.

199399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 42.

The square root of 199399200 is about 14120.8781596613. The cubic root of 199399200 is about 584.2173770123.

The spelling of 199399200 in words is "one hundred ninety-nine million, three hundred ninety-nine thousand, two hundred".