198448000 has 128 divisors (see below), whose sum is σ = 502819200. Its totient is φ = 77875200.

The previous prime is 198447973. The next prime is 198448007. The reversal of 198448000 is 844891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198448007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1263922 + ... + 1264078.

It is an arithmetic number, because the mean of its divisors is an integer number (3928275).

Almost surely, 2^198448000 is an apocalyptic number.

198448000 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 198448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251409600).

198448000 is an abundant number, since it is smaller than the sum of its proper divisors (304371200).

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

198448000 is an equidigital number, since it uses as much as digits as its factorization.

198448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 198448000 is about 14087.1572717848. The cubic root of 198448000 is about 583.2869260134.

The spelling of 198448000 in words is "one hundred ninety-eight million, four hundred forty-eight thousand".