482794099200 has 1620 divisors, whose sum is σ = 2100135390210. Its totient is φ = 105593241600.

The previous prime is 482794099187. The next prime is 482794099201. The reversal of 482794099200 is 2990497284.

482794099200 is a `hidden beast` number, since 4 + 8 + 27 + 9 + 409 + 9 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 282190438656 + 200603660544 = 531216^2 + 447888^2 .

It is not an unprimeable number, because it can be changed into a prime (482794099201) by changing a digit.

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 161 ways as a sum of consecutive naturals, for example, 5424652756 + ... + 5424652844.

Almost surely, 2^482794099200 is an apocalyptic number.

482794099200 is a gapful number since it is divisible by the number (40) 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 482794099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050067695105).

482794099200 is an abundant number, since it is smaller than the sum of its proper divisors (1617341291010).

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

482794099200 is a wasteful number, since it uses less digits than its factorization.

482794099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 482794099200 in words is "four hundred eighty-two billion, seven hundred ninety-four million, ninety-nine thousand, two hundred".