489728000 has 96 divisors (see below), whose sum is σ = 1222701480. Its totient is φ = 195788800.

The previous prime is 489727963. The next prime is 489728033. The reversal of 489728000 is 827984.

It can be written as a sum of positive squares in 4 ways, for example, as 242861056 + 246866944 = 15584^2 + 15712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255044 + ... + 256956.

Almost surely, 2^489728000 is an apocalyptic number.

489728000 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 489728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611350740).

489728000 is an abundant number, since it is smaller than the sum of its proper divisors (732973480).

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

489728000 is an equidigital number, since it uses as much as digits as its factorization.

489728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 489728000 is about 22129.7989145857. The cubic root of 489728000 is about 788.2276133942.

The spelling of 489728000 in words is "four hundred eighty-nine million, seven hundred twenty-eight thousand".