480943539072 has 768 divisors, whose sum is σ = 1594764288000. Its totient is φ = 138293084160.

The previous prime is 480943539071. The next prime is 480943539077. The reversal of 480943539072 is 270935349084.

480943539072 is a `hidden beast` number, since 480 + 9 + 4 + 3 + 5 + 3 + 90 + 72 = 666.

It is a super-3 number, since 3×480943539072³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480943539071) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1038754713 + ... + 1038755175.

It is an arithmetic number, because the mean of its divisors is an integer number (2076516000).

Almost surely, 2^480943539072 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 480943539072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797382144000).

480943539072 is an abundant number, since it is smaller than the sum of its proper divisors (1113820748928).

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

480943539072 is a wasteful number, since it uses less digits than its factorization.

480943539072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 480943539072 in words is "four hundred eighty billion, nine hundred forty-three million, five hundred thirty-nine thousand, seventy-two".