198440 has 48 divisors (see below), whose sum is σ = 502740. Its totient is φ = 70400.

The previous prime is 198439. The next prime is 198461. The reversal of 198440 is 44891.

198440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 174724 + 23716 = 418^2 + 154^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4820 + ... + 4860.

2¹⁹⁸⁴⁴⁰ is an apocalyptic number.

198440 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 198440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251370).

198440 is an abundant number, since it is smaller than the sum of its proper divisors (304300).

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

198440 is a wasteful number, since it uses less digits than its factorization.

198440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 198440 is about 445.4660480890. The cubic root of 198440 is about 58.3279087926.

The spelling of 198440 in words is "one hundred ninety-eight thousand, four hundred forty".