198374400 has 528 divisors, whose sum is σ = 852862080. Its totient is φ = 44236800.

The previous prime is 198374387. The next prime is 198374401. The reversal of 198374400 is 4473891.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198374401) 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, 4838380 + ... + 4838420.

Almost surely, 2^198374400 is an apocalyptic number.

198374400 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 198374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426431040).

198374400 is an abundant number, since it is smaller than the sum of its proper divisors (654487680).

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

198374400 is a wasteful number, since it uses less digits than its factorization.

198374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 198374400 is about 14084.5447210764. The cubic root of 198374400 is about 583.2148076648.

The spelling of 198374400 in words is "one hundred ninety-eight million, three hundred seventy-four thousand, four hundred".