199290000 has 400 divisors, whose sum is σ = 802643072. Its totient is φ = 41472000.

The previous prime is 199289953. The next prime is 199290019. The reversal of 199290000 is 92991.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 199290000.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2729964 + ... + 2730036.

Almost surely, 2^199290000 is an apocalyptic number.

199290000 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 199290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401321536).

199290000 is an abundant number, since it is smaller than the sum of its proper divisors (603353072).

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

199290000 is a wasteful number, since it uses less digits than its factorization.

199290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 199290000 is about 14117.0110150839. The cubic root of 199290000 is about 584.1107096049.

The spelling of 199290000 in words is "one hundred ninety-nine million, two hundred ninety thousand".