198878400 has 252 divisors, whose sum is σ = 808250352. Its totient is φ = 45434880.

The previous prime is 198878399. The next prime is 198878417. The reversal of 198878400 is 4878891.

198878400 is digitally balanced in base 3, 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 (252).

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99814 + ... + 101786.

Almost surely, 2^198878400 is an apocalyptic number.

198878400 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 198878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404125176).

198878400 is an abundant number, since it is smaller than the sum of its proper divisors (609371952).

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

198878400 is a wasteful number, since it uses less digits than its factorization.

198878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 198878400 is about 14102.4253233265. The cubic root of 198878400 is about 583.7083049452.

The spelling of 198878400 in words is "one hundred ninety-eight million, eight hundred seventy-eight thousand, four hundred".