198998400 has 192 divisors, whose sum is σ = 690580800. Its totient is φ = 50227200.

The previous prime is 198998389. The next prime is 198998407. The reversal of 198998400 is 4899891.

198998400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 198998400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198998407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181855 + ... + 182945.

It is an arithmetic number, because the mean of its divisors is an integer number (3596775).

Almost surely, 2^198998400 is an apocalyptic number.

198998400 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 198998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345290400).

198998400 is an abundant number, since it is smaller than the sum of its proper divisors (491582400).

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

198998400 is a wasteful number, since it uses less digits than its factorization.

198998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 198998400 is about 14106.6792690555. The cubic root of 198998400 is about 583.8256813811.

The spelling of 198998400 in words is "one hundred ninety-eight million, nine hundred ninety-eight thousand, four hundred".