198405600 has 216 divisors, whose sum is σ = 684565560. Its totient is φ = 49904640.

The previous prime is 198405593. The next prime is 198405629. The reversal of 198405600 is 6504891.

It is a super-2 number, since 2×198405600² = 78729564222720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 866286 + ... + 866514.

It is an arithmetic number, because the mean of its divisors is an integer number (3169285).

Almost surely, 2^198405600 is an apocalyptic number.

198405600 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 198405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342282780).

198405600 is an abundant number, since it is smaller than the sum of its proper divisors (486159960).

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

198405600 is a wasteful number, since it uses less digits than its factorization.

198405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 198405600 is about 14085.6522745665. The cubic root of 198405600 is about 583.2453817512.

The spelling of 198405600 in words is "one hundred ninety-eight million, four hundred five thousand, six hundred".