198815400 has 288 divisors, whose sum is σ = 789235200. Its totient is φ = 43891200.

The previous prime is 198815377. The next prime is 198815413. The reversal of 198815400 is 4518891.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 390346 + ... + 390854.

It is an arithmetic number, because the mean of its divisors is an integer number (2740400).

Almost surely, 2^198815400 is an apocalyptic number.

198815400 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 198815400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394617600).

198815400 is an abundant number, since it is smaller than the sum of its proper divisors (590419800).

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

198815400 is a wasteful number, since it uses less digits than its factorization.

198815400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

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

The square root of 198815400 is about 14100.1914880614. The cubic root of 198815400 is about 583.6466634146.

It can be divided in two parts, 19881 and 5400, that added together give a square (25281 = 159²).

The spelling of 198815400 in words is "one hundred ninety-eight million, eight hundred fifteen thousand, four hundred".