198451200 has 336 divisors, whose sum is σ = 731337120. Its totient is φ = 47185920.

The previous prime is 198451189. The next prime is 198451207. The reversal of 198451200 is 2154891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (198451207) 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, 10444791 + ... + 10444809.

Almost surely, 2^198451200 is an apocalyptic number.

198451200 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 198451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365668560).

198451200 is an abundant number, since it is smaller than the sum of its proper divisors (532885920).

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

198451200 is a wasteful number, since it uses less digits than its factorization.

198451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 198451200 is about 14087.2708499553. The cubic root of 198451200 is about 583.2900611892.

The spelling of 198451200 in words is "one hundred ninety-eight million, four hundred fifty-one thousand, two hundred".