480255519744 has 2112 divisors, whose sum is σ = 2026070161920. Its totient is φ = 110361968640.

The previous prime is 480255519743. The next prime is 480255519749. The reversal of 480255519744 is 447915552084.

480255519744 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 55 + 519 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (480255519743) 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 191 ways as a sum of consecutive naturals, for example, 7167992799 + ... + 7167992865.

Almost surely, 2^480255519744 is an apocalyptic number.

480255519744 is a gapful number since it is divisible by the number (44) 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 480255519744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013035080960).

480255519744 is an abundant number, since it is smaller than the sum of its proper divisors (1545814642176).

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

480255519744 is a wasteful number, since it uses less digits than its factorization.

480255519744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

It can be divided in two parts, 480255 and 519744, that added together give a palindrome (999999).

The spelling of 480255519744 in words is "four hundred eighty billion, two hundred fifty-five million, five hundred nineteen thousand, seven hundred forty-four".