198158400 has 420 divisors, whose sum is σ = 800313360. Its totient is φ = 47692800.

The previous prime is 198158393. The next prime is 198158419. The reversal of 198158400 is 4851891.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1425531 + ... + 1425669.

It is an arithmetic number, because the mean of its divisors is an integer number (1905508).

Almost surely, 2^198158400 is an apocalyptic number.

198158400 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 198158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400156680).

198158400 is an abundant number, since it is smaller than the sum of its proper divisors (602154960).

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

198158400 is a wasteful number, since it uses less digits than its factorization.

198158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 198158400 is about 14076.8746531323. The cubic root of 198158400 is about 583.0030529415.

The spelling of 198158400 in words is "one hundred ninety-eight million, one hundred fifty-eight thousand, four hundred".