488928000 has 288 divisors, whose sum is σ = 1775434752. Its totient is φ = 118272000.

The previous prime is 488927983. The next prime is 488928019. The reversal of 488928000 is 829884.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 488928000.

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, 1055769 + ... + 1056231.

It is an arithmetic number, because the mean of its divisors is an integer number (6164704).

Almost surely, 2^488928000 is an apocalyptic number.

488928000 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 488928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887717376).

488928000 is an abundant number, since it is smaller than the sum of its proper divisors (1286506752).

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

488928000 is a wasteful number, since it uses less digits than its factorization.

488928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 488928000 is about 22111.7163512921. The cubic root of 488928000 is about 787.7981738093.

The spelling of 488928000 in words is "four hundred eighty-eight million, nine hundred twenty-eight thousand".