489888000 has 576 divisors, whose sum is σ = 2091747840. Its totient is φ = 111974400.

The previous prime is 489887989. The next prime is 489888041. The reversal of 489888000 is 888984.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 69983997 + ... + 69984003.

Almost surely, 2^489888000 is an apocalyptic number.

489888000 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 489888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045873920).

489888000 is an abundant number, since it is smaller than the sum of its proper divisors (1601859840).

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

489888000 is an frugal number, since it uses more digits than its factorization.

489888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 489888000 is about 22133.4136544727. The cubic root of 489888000 is about 788.3134451798.

The spelling of 489888000 in words is "four hundred eighty-nine million, eight hundred eighty-eight thousand".