489840000 has 320 divisors, whose sum is σ = 1762123440. Its totient is φ = 119808000.

The previous prime is 489839981. The next prime is 489840019. The reversal of 489840000 is 48984.

It is an interprime number because it is at equal distance from previous prime (489839981) and next prime (489840019).

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 3119922 + ... + 3120078.

Almost surely, 2^489840000 is an apocalyptic number.

489840000 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 489840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881061720).

489840000 is an abundant number, since it is smaller than the sum of its proper divisors (1272283440).

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

489840000 is a wasteful number, since it uses less digits than its factorization.

489840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 489840000 is about 22132.3292944959. The cubic root of 489840000 is about 788.2876976067.

Adding to 489840000 its reverse (48984), we get a palindrome (489888984).

Multiplying 489840000 by its reverse (48984), we get a square (23994322560000 = 4898400²).

489840000 divided by its reverse (48984) gives a 4-th power (10000 = 10⁴).

The spelling of 489840000 in words is "four hundred eighty-nine million, eight hundred forty thousand".