198759456 has 144 divisors (see below), whose sum is σ = 680097600. Its totient is φ = 53789184.

The previous prime is 198759443. The next prime is 198759467. The reversal of 198759456 is 654957891.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35710 + ... + 40898.

It is an arithmetic number, because the mean of its divisors is an integer number (4722900).

Almost surely, 2^198759456 is an apocalyptic number.

198759456 is a gapful number since it is divisible by the number (16) 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 198759456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340048800).

198759456 is an abundant number, since it is smaller than the sum of its proper divisors (481338144).

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

198759456 is a wasteful number, since it uses less digits than its factorization.

198759456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5220 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 198759456 is about 14098.2075456421. The cubic root of 198759456 is about 583.5919148187.

The spelling of 198759456 in words is "one hundred ninety-eight million, seven hundred fifty-nine thousand, four hundred fifty-six".