484285785984 has 640 divisors, whose sum is σ = 1935115015680. Its totient is φ = 116109987840.

The previous prime is 484285785967. The next prime is 484285785989. The reversal of 484285785984 is 489587582484.

484285785984 is a `hidden beast` number, since 4 + 8 + 4 + 28 + 5 + 7 + 8 + 598 + 4 = 666.

It is a super-2 number, since 2×484285785984² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484285785989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10355037 + ... + 10401699.

It is an arithmetic number, because the mean of its divisors is an integer number (3023617212).

Almost surely, 2^484285785984 is an apocalyptic number.

484285785984 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 484285785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967557507840).

484285785984 is an abundant number, since it is smaller than the sum of its proper divisors (1450829229696).

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

484285785984 is a wasteful number, since it uses less digits than its factorization.

484285785984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46720 (or 46699 counting only the distinct ones).

The product of its digits is 825753600, while the sum is 72.

The spelling of 484285785984 in words is "four hundred eighty-four billion, two hundred eighty-five million, seven hundred eighty-five thousand, nine hundred eighty-four".