198102400 has 96 divisors (see below), whose sum is σ = 505414080. Its totient is φ = 76646400.

The previous prime is 198102349. The next prime is 198102439. The reversal of 198102400 is 4201891.

It is a happy number.

198102400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98202 + ... + 100198.

It is an arithmetic number, because the mean of its divisors is an integer number (5264730).

Almost surely, 2^198102400 is an apocalyptic number.

198102400 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 198102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252707040).

198102400 is an abundant number, since it is smaller than the sum of its proper divisors (307311680).

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

198102400 is a wasteful number, since it uses less digits than its factorization.

198102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 198102400 is about 14074.8854347025. The cubic root of 198102400 is about 582.9481284519.

The spelling of 198102400 in words is "one hundred ninety-eight million, one hundred two thousand, four hundred".