483083282124800 has 624 divisors, whose sum is σ = 1499545944524160. Its totient is φ = 150510218772480.

The previous prime is 483083282124631. The next prime is 483083282124847. The reversal of 483083282124800 is 8421282380384.

It is a happy number.

It is a super-2 number, since 2×483083282124800² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352698887 + ... + 354065913.

It is an arithmetic number, because the mean of its divisors is an integer number (2403118500840).

Almost surely, 2^{483083282124800} is an apocalyptic number.

483083282124800 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 483083282124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749772972262080).

483083282124800 is an abundant number, since it is smaller than the sum of its proper divisors (1016462662399360).

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

483083282124800 is a wasteful number, since it uses less digits than its factorization.

483083282124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367114 (or 1367087 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 53.

The spelling of 483083282124800 in words is "four hundred eighty-three trillion, eighty-three billion, two hundred eighty-two million, one hundred twenty-four thousand, eight hundred".