482281502544 has 400 divisors, whose sum is σ = 1521045504000. Its totient is φ = 146967333120.

The previous prime is 482281502539. The next prime is 482281502561. The reversal of 482281502544 is 445205182284.

It is a happy number.

482281502544 is a `hidden beast` number, since 4 + 8 + 22 + 81 + 5 + 0 + 2 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 482281502544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 365641117 + ... + 365642435.

It is an arithmetic number, because the mean of its divisors is an integer number (3802613760).

Almost surely, 2^482281502544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482281502544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760522752000).

482281502544 is an abundant number, since it is smaller than the sum of its proper divisors (1038764001456).

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

482281502544 is a wasteful number, since it uses less digits than its factorization.

482281502544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 482281502544 in words is "four hundred eighty-two billion, two hundred eighty-one million, five hundred two thousand, five hundred forty-four".