198400 has 54 divisors (see below), whose sum is σ = 506912. Its totient is φ = 76800.

The previous prime is 198397. The next prime is 198409. The reversal of 198400 is 4891.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6385 + ... + 6415.

2¹⁹⁸⁴⁰⁰ is an apocalyptic number.

198400 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 198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253456).

198400 is an abundant number, since it is smaller than the sum of its proper divisors (308512).

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

198400 is an equidigital number, since it uses as much as digits as its factorization.

198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 198400 is about 445.4211490264. The cubic root of 198400 is about 58.3239894331.

The spelling of 198400 in words is "one hundred ninety-eight thousand, four hundred".