198266400 has 288 divisors, whose sum is σ = 733078080. Its totient is φ = 51701760.

The previous prime is 198266381. The next prime is 198266423. The reversal of 198266400 is 4662891.

198266400 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1447132 + ... + 1447268.

It is an arithmetic number, because the mean of its divisors is an integer number (2545410).

Almost surely, 2^198266400 is an apocalyptic number.

198266400 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 198266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366539040).

198266400 is an abundant number, since it is smaller than the sum of its proper divisors (534811680).

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

198266400 is a wasteful number, since it uses less digits than its factorization.

198266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 198266400 is about 14080.7102093609. The cubic root of 198266400 is about 583.1089495277.

The spelling of 198266400 in words is "one hundred ninety-eight million, two hundred sixty-six thousand, four hundred".