482508800 has 192 divisors, whose sum is σ = 1300214400. Its totient is φ = 176947200.

The previous prime is 482508799. The next prime is 482508809. The reversal of 482508800 is 8805284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482508809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15564785 + ... + 15564815.

It is an arithmetic number, because the mean of its divisors is an integer number (6771950).

Almost surely, 2^482508800 is an apocalyptic number.

482508800 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 482508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650107200).

482508800 is an abundant number, since it is smaller than the sum of its proper divisors (817705600).

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

482508800 is an equidigital number, since it uses as much as digits as its factorization.

482508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 482508800 is about 21966.0829462151. The cubic root of 482508800 is about 784.3352724015.

The spelling of 482508800 in words is "four hundred eighty-two million, five hundred eight thousand, eight hundred".