196444800 has 288 divisors, whose sum is σ = 739908000. Its totient is φ = 49489920.

The previous prime is 196444789. The next prime is 196444841. The reversal of 196444800 is 8444691.

It is a happy number.

196444800 is a `hidden beast` number, since 1 + 9 + 644 + 4 + 8 + 0 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 547021 + ... + 547379.

It is an arithmetic number, because the mean of its divisors is an integer number (2569125).

Almost surely, 2^196444800 is an apocalyptic number.

196444800 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 196444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369954000).

196444800 is an abundant number, since it is smaller than the sum of its proper divisors (543463200).

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

196444800 is a wasteful number, since it uses less digits than its factorization.

196444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 196444800 is about 14015.8767117865. The cubic root of 196444800 is about 581.3176542826.

It can be divided in two parts, 1964 and 44800, that added together give a palindrome (46764).

The spelling of 196444800 in words is "one hundred ninety-six million, four hundred forty-four thousand, eight hundred".