196450808400 has 720 divisors, whose sum is σ = 857130937728. Its totient is φ = 40813977600.

The previous prime is 196450808387. The next prime is 196450808401. The reversal of 196450808400 is 4808054691.

196450808400 is a `hidden beast` number, since 1 + 9 + 64 + 508 + 0 + 84 + 0 + 0 = 666.

196450808400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196450808401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33538272 + ... + 33544128.

Almost surely, 2^196450808400 is an apocalyptic number.

196450808400 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 196450808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428565468864).

196450808400 is an abundant number, since it is smaller than the sum of its proper divisors (660680129328).

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

196450808400 is a wasteful number, since it uses less digits than its factorization.

196450808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 196450808400 in words is "one hundred ninety-six billion, four hundred fifty million, eight hundred eight thousand, four hundred".