196480800 has 216 divisors, whose sum is σ = 717493140. Its totient is φ = 50534400.

The previous prime is 196480703. The next prime is 196480813. The reversal of 196480800 is 8084691.

It is a happy number.

196480800 is a `hidden beast` number, since 1 + 9 + 648 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 84713616 + 111767184 = 9204^2 + 10572^2 .

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 35 ways as a sum of consecutive naturals, for example, 208330 + ... + 209270.

Almost surely, 2^196480800 is an apocalyptic number.

196480800 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 196480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358746570).

196480800 is an abundant number, since it is smaller than the sum of its proper divisors (521012340).

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

196480800 is a wasteful number, since it uses less digits than its factorization.

196480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 196480800 is about 14017.1609108264. The cubic root of 196480800 is about 581.3531624038.

The spelling of 196480800 in words is "one hundred ninety-six million, four hundred eighty thousand, eight hundred".