484905584640 has 384 divisors, whose sum is σ = 1729059696000. Its totient is φ = 115294076928.

The previous prime is 484905584633. The next prime is 484905584651. The reversal of 484905584640 is 46485509484.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9898126 + ... + 9946994.

It is an arithmetic number, because the mean of its divisors is an integer number (4502759625).

Almost surely, 2^484905584640 is an apocalyptic number.

484905584640 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 484905584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864529848000).

484905584640 is an abundant number, since it is smaller than the sum of its proper divisors (1244154111360).

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

484905584640 is a wasteful number, since it uses less digits than its factorization.

484905584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48935 (or 48915 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 484905584640 in words is "four hundred eighty-four billion, nine hundred five million, five hundred eighty-four thousand, six hundred forty".