199948800 has 240 divisors, whose sum is σ = 681956352. Its totient is φ = 51609600.

The previous prime is 199948787. The next prime is 199948843. The reversal of 199948800 is 8849991.

199948800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 199948800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1574337 + ... + 1574463.

Almost surely, 2^199948800 is an apocalyptic number.

199948800 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 199948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340978176).

199948800 is an abundant number, since it is smaller than the sum of its proper divisors (482007552).

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

199948800 is a wasteful number, since it uses less digits than its factorization.

199948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

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

The square root of 199948800 is about 14140.3253145039. The cubic root of 199948800 is about 584.7536401475.

The spelling of 199948800 in words is "one hundred ninety-nine million, nine hundred forty-eight thousand, eight hundred".