198924480 has 252 divisors, whose sum is σ = 729874080. Its totient is φ = 49717248.

The previous prime is 198924443. The next prime is 198924487. The reversal of 198924480 is 84429891.

198924480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198924487) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832201 + ... + 832439.

Almost surely, 2^198924480 is an apocalyptic number.

198924480 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 198924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364937040).

198924480 is an abundant number, since it is smaller than the sum of its proper divisors (530949600).

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

198924480 is a wasteful number, since it uses less digits than its factorization.

198924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 198924480 is about 14104.0589902340. The cubic root of 198924480 is about 583.7533830793.

The spelling of 198924480 in words is "one hundred ninety-eight million, nine hundred twenty-four thousand, four hundred eighty".