198825300 has 144 divisors (see below), whose sum is σ = 644056000. Its totient is φ = 52617600.

The previous prime is 198825299. The next prime is 198825311. The reversal of 198825300 is 3528891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569526 + ... + 569874.

Almost surely, 2^198825300 is an apocalyptic number.

198825300 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 198825300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322028000).

198825300 is an abundant number, since it is smaller than the sum of its proper divisors (445230700).

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

198825300 is a wasteful number, since it uses less digits than its factorization.

198825300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 198825300 is about 14100.5425427535. The cubic root of 198825300 is about 583.6563508031.

The spelling of 198825300 in words is "one hundred ninety-eight million, eight hundred twenty-five thousand, three hundred".