198827400 has 192 divisors, whose sum is σ = 658886400. Its totient is φ = 49455360.

The previous prime is 198827357. The next prime is 198827401. The reversal of 198827400 is 4728891.

It is not an unprimeable number, because it can be changed into a prime (198827401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219719 + ... + 1219881.

It is an arithmetic number, because the mean of its divisors is an integer number (3431700).

Almost surely, 2^198827400 is an apocalyptic number.

198827400 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 198827400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329443200).

198827400 is an abundant number, since it is smaller than the sum of its proper divisors (460059000).

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

198827400 is a wasteful number, since it uses less digits than its factorization.

198827400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 198827400 is about 14100.6170077766. The cubic root of 198827400 is about 583.6584056624.

The spelling of 198827400 in words is "one hundred ninety-eight million, eight hundred twenty-seven thousand, four hundred".