199886400 has 336 divisors, whose sum is σ = 834014080. Its totient is φ = 45619200.

The previous prime is 199886389. The next prime is 199886413. The reversal of 199886400 is 4688991.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302070 + ... + 302730.

Almost surely, 2^199886400 is an apocalyptic number.

199886400 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 199886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417007040).

199886400 is an abundant number, since it is smaller than the sum of its proper divisors (634127680).

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

199886400 is a wasteful number, since it uses less digits than its factorization.

199886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 199886400 is about 14138.1186867277. The cubic root of 199886400 is about 584.6928038674.

The spelling of 199886400 in words is "one hundred ninety-nine million, eight hundred eighty-six thousand, four hundred".