198322400 has 72 divisors (see below), whose sum is σ = 487546920. Its totient is φ = 78773760.

The previous prime is 198322381. The next prime is 198322403. The reversal of 198322400 is 4223891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198322403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124811 + ... + 126389.

It is an arithmetic number, because the mean of its divisors is an integer number (6771485).

Almost surely, 2^198322400 is an apocalyptic number.

198322400 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 198322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243773460).

198322400 is an abundant number, since it is smaller than the sum of its proper divisors (289224520).

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

198322400 is a wasteful number, since it uses less digits than its factorization.

198322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 198322400 is about 14082.6986050260. The cubic root of 198322400 is about 583.1638437295.

The spelling of 198322400 in words is "one hundred ninety-eight million, three hundred twenty-two thousand, four hundred".