482191950240 has 2880 divisors, whose sum is σ = 2398222632960. Its totient is φ = 88683724800.

The previous prime is 482191950211. The next prime is 482191950323. The reversal of 482191950240 is 42059191284.

It is a happy number.

482191950240 is a `hidden beast` number, since 4 + 8 + 219 + 195 + 0 + 240 = 666.

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

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 479 ways as a sum of consecutive naturals, for example, 4423779306 + ... + 4423779414.

It is an arithmetic number, because the mean of its divisors is an integer number (832716192).

Almost surely, 2^482191950240 is an apocalyptic number.

482191950240 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 482191950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199111316480).

482191950240 is an abundant number, since it is smaller than the sum of its proper divisors (1916030682720).

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

482191950240 is a wasteful number, since it uses less digits than its factorization.

482191950240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 482191950240 in words is "four hundred eighty-two billion, one hundred ninety-one million, nine hundred fifty thousand, two hundred forty".