198298800 has 480 divisors, whose sum is σ = 838914560. Its totient is φ = 43545600.

The previous prime is 198298753. The next prime is 198298813. The reversal of 198298800 is 8892891.

198298800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3250770 + ... + 3250830.

Almost surely, 2^198298800 is an apocalyptic number.

198298800 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 198298800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419457280).

198298800 is an abundant number, since it is smaller than the sum of its proper divisors (640615760).

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

198298800 is a wasteful number, since it uses less digits than its factorization.

198298800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 198298800 is about 14081.8606725106. The cubic root of 198298800 is about 583.1407110044.

The spelling of 198298800 in words is "one hundred ninety-eight million, two hundred ninety-eight thousand, eight hundred".