481205482560 has 448 divisors, whose sum is σ = 1875383193600. Its totient is φ = 115177420800.

The previous prime is 481205482489. The next prime is 481205482601. The reversal of 481205482560 is 65284502184.

481205482560 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 0 + 5 + 4 + 82 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7476115 + ... + 7540205.

It is an arithmetic number, because the mean of its divisors is an integer number (4186123200).

Almost surely, 2^481205482560 is an apocalyptic number.

481205482560 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 481205482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937691596800).

481205482560 is an abundant number, since it is smaller than the sum of its proper divisors (1394177711040).

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

481205482560 is a wasteful number, since it uses less digits than its factorization.

481205482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64207 (or 64191 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 481205482560 in words is "four hundred eighty-one billion, two hundred five million, four hundred eighty-two thousand, five hundred sixty".