480048506784 has 864 divisors, whose sum is σ = 1797598752768. Its totient is φ = 118039680000.

The previous prime is 480048506677. The next prime is 480048506797. The reversal of 480048506784 is 487605840084.

480048506784 is a `hidden beast` number, since 4 + 80 + 0 + 485 + 0 + 6 + 7 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 480048506784.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1771396569 + ... + 1771396839.

It is an arithmetic number, because the mean of its divisors is an integer number (2080554112).

Almost surely, 2^480048506784 is an apocalyptic number.

480048506784 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 480048506784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898799376384).

480048506784 is an abundant number, since it is smaller than the sum of its proper divisors (1317550245984).

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

480048506784 is a wasteful number, since it uses less digits than its factorization.

480048506784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

It can be divided in two parts, 4800 and 48506784, that added together give a palindrome (48511584).

The spelling of 480048506784 in words is "four hundred eighty billion, forty-eight million, five hundred six thousand, seven hundred eighty-four".