484772040480 has 768 divisors, whose sum is σ = 2031938334720. Its totient is φ = 94273486848.

The previous prime is 484772040433. The next prime is 484772040503. The reversal of 484772040480 is 84040277484.

It is a super-2 number, since 2×484772040480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 30699147 + ... + 30714933.

It is an arithmetic number, because the mean of its divisors is an integer number (2645753040).

Almost surely, 2^484772040480 is an apocalyptic number.

484772040480 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 484772040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015969167360).

484772040480 is an abundant number, since it is smaller than the sum of its proper divisors (1547166294240).

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

484772040480 is a wasteful number, since it uses less digits than its factorization.

484772040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15881 (or 15873 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 48.

The spelling of 484772040480 in words is "four hundred eighty-four billion, seven hundred seventy-two million, forty thousand, four hundred eighty".