482601388800 has 432 divisors, whose sum is σ = 1652249249280. Its totient is φ = 123906048000.

The previous prime is 482601388783. The next prime is 482601388807. The reversal of 482601388800 is 8883106284.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 482601388800.

It is not an unprimeable number, because it can be changed into a prime (482601388807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239979795 + ... + 239981805.

It is an arithmetic number, because the mean of its divisors is an integer number (3824651040).

Almost surely, 2^482601388800 is an apocalyptic number.

482601388800 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 482601388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826124624640).

482601388800 is an abundant number, since it is smaller than the sum of its proper divisors (1169647860480).

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

482601388800 is a wasteful number, since it uses less digits than its factorization.

482601388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 482601388800 in words is "four hundred eighty-two billion, six hundred one million, three hundred eighty-eight thousand, eight hundred".