484400408832 has 432 divisors, whose sum is σ = 1511453623680. Its totient is φ = 148651573248.

The previous prime is 484400408831. The next prime is 484400408903. The reversal of 484400408832 is 238804004484.

It is not an unprimeable number, because it can be changed into a prime (484400408831) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 354352213 + ... + 354353579.

It is an arithmetic number, because the mean of its divisors is an integer number (3498735240).

Almost surely, 2^484400408832 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 484400408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755726811840).

484400408832 is an abundant number, since it is smaller than the sum of its proper divisors (1027053214848).

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

484400408832 is a wasteful number, since it uses less digits than its factorization.

484400408832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 484400408832 in words is "four hundred eighty-four billion, four hundred million, four hundred eight thousand, eight hundred thirty-two".