489984768 has 576 divisors, whose sum is σ = 1922995200. Its totient is φ = 119439360.

The previous prime is 489984763. The next prime is 489984769. The reversal of 489984768 is 867489984.

489984768 is a `hidden beast` number, since 489 + 9 + 84 + 76 + 8 = 666.

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 (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (489984763) by changing a digit.

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, 11950828 + ... + 11950868.

Almost surely, 2^489984768 is an apocalyptic number.

489984768 is a gapful number since it is divisible by the number (48) 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 489984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961497600).

489984768 is an abundant number, since it is smaller than the sum of its proper divisors (1433010432).

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

489984768 is a wasteful number, since it uses less digits than its factorization.

489984768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 489984768 is about 22135.5995626954. The cubic root of 489984768 is about 788.3653471746.

The spelling of 489984768 in words is "four hundred eighty-nine million, nine hundred eighty-four thousand, seven hundred sixty-eight".