198443520 has 480 divisors, whose sum is σ = 804323520. Its totient is φ = 46448640.

The previous prime is 198443519. The next prime is 198443521. The reversal of 198443520 is 25344891.

198443520 is a `hidden beast` number, since 1 + 98 + 4 + 43 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (198443519) and next prime (198443521).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (198443521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6842866 + ... + 6842894.

It is an arithmetic number, because the mean of its divisors is an integer number (1675674).

Almost surely, 2^198443520 is an apocalyptic number.

198443520 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 198443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

198443520 is an abundant number, since it is smaller than the sum of its proper divisors (605880000).

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

198443520 is an equidigital number, since it uses as much as digits as its factorization.

198443520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 198443520 is about 14086.9982608077. The cubic root of 198443520 is about 583.2825367105.

The spelling of 198443520 in words is "one hundred ninety-eight million, four hundred forty-three thousand, five hundred twenty".