484128000 has 324 divisors, whose sum is σ = 1785558684. Its totient is φ = 125952000.

The previous prime is 484127993. The next prime is 484128011. The reversal of 484128000 is 821484.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 410305536 + 73822464 = 20256^2 + 8592^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11807980 + ... + 11808020.

Almost surely, 2^484128000 is an apocalyptic number.

484128000 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 484128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892779342).

484128000 is an abundant number, since it is smaller than the sum of its proper divisors (1301430684).

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

484128000 is an equidigital number, since it uses as much as digits as its factorization.

484128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 484128000 is about 22002.9088985979. The cubic root of 484128000 is about 785.2116486121.

Adding to 484128000 its reverse (821484), we get a palindrome (484949484).

The spelling of 484128000 in words is "four hundred eighty-four million, one hundred twenty-eight thousand".