482909817600 has 972 divisors, whose sum is σ = 2083104552984. Its totient is φ = 110361968640.

The previous prime is 482909817589. The next prime is 482909817601. The reversal of 482909817600 is 6718909284.

482909817600 is a `hidden beast` number, since 4 + 8 + 29 + 0 + 9 + 8 + 1 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (482909817601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 76201632 + ... + 76207968.

Almost surely, 2^482909817600 is an apocalyptic number.

482909817600 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 482909817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041552276492).

482909817600 is an abundant number, since it is smaller than the sum of its proper divisors (1600194735384).

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

482909817600 is an equidigital number, since it uses as much as digits as its factorization.

482909817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 482909817600 in words is "four hundred eighty-two billion, nine hundred nine million, eight hundred seventeen thousand, six hundred".