198959488 has 256 divisors, whose sum is σ = 548352000. Its totient is φ = 69672960.

The previous prime is 198959479. The next prime is 198959557. The reversal of 198959488 is 884959891.

198959488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6418033 + ... + 6418063.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 2^198959488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198959488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274176000).

198959488 is an abundant number, since it is smaller than the sum of its proper divisors (349392512).

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

198959488 is a wasteful number, since it uses less digits than its factorization.

198959488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 61.

The square root of 198959488 is about 14105.2999968097. The cubic root of 198959488 is about 583.7876252865.

The spelling of 198959488 in words is "one hundred ninety-eight million, nine hundred fifty-nine thousand, four hundred eighty-eight".