199809000 has 144 divisors (see below), whose sum is σ = 679917420. Its totient is φ = 52924800.

The previous prime is 199808969. The next prime is 199809011. The reversal of 199809000 is 908991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

199809000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12830724 + 186978276 = 3582^2 + 13674^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1340926 + ... + 1341074.

Almost surely, 2^199809000 is an apocalyptic number.

199809000 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 199809000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339958710).

199809000 is an abundant number, since it is smaller than the sum of its proper divisors (480108420).

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

199809000 is a wasteful number, since it uses less digits than its factorization.

199809000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 199809000 is about 14135.3811409527. The cubic root of 199809000 is about 584.6173258867.

The spelling of 199809000 in words is "one hundred ninety-nine million, eight hundred nine thousand".