198984480 has 96 divisors (see below), whose sum is σ = 642152448. Its totient is φ = 51763200.

The previous prime is 198984479. The next prime is 198984481. The reversal of 198984480 is 84489891.

It is an interprime number because it is at equal distance from previous prime (198984479) and next prime (198984481).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (198984481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14625 + ... + 24735.

It is an arithmetic number, because the mean of its divisors is an integer number (6689088).

Almost surely, 2^198984480 is an apocalyptic number.

198984480 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 198984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321076224).

198984480 is an abundant number, since it is smaller than the sum of its proper divisors (443167968).

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

198984480 is a wasteful number, since it uses less digits than its factorization.

198984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10170 (or 10162 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 198984480 is about 14106.1858771250. The cubic root of 198984480 is about 583.8120681343.

The spelling of 198984480 in words is "one hundred ninety-eight million, nine hundred eighty-four thousand, four hundred eighty".