198580400 has 240 divisors, whose sum is σ = 560455200. Its totient is φ = 67092480.

The previous prime is 198580387. The next prime is 198580423. The reversal of 198580400 is 4085891.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3746774 + ... + 3746826.

It is an arithmetic number, because the mean of its divisors is an integer number (2335230).

Almost surely, 2^198580400 is an apocalyptic number.

198580400 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 198580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280227600).

198580400 is an abundant number, since it is smaller than the sum of its proper divisors (361874800).

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

198580400 is a wasteful number, since it uses less digits than its factorization.

198580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 198580400 is about 14091.8558039742. The cubic root of 198580400 is about 583.4166157736.

The spelling of 198580400 in words is "one hundred ninety-eight million, five hundred eighty thousand, four hundred".