489777024 has 192 divisors, whose sum is σ = 1458616320. Its totient is φ = 145474560.

The previous prime is 489777007. The next prime is 489777047. The reversal of 489777024 is 420777984.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 3856449 + ... + 3856575.

It is an arithmetic number, because the mean of its divisors is an integer number (7596960).

Almost surely, 2^489777024 is an apocalyptic number.

489777024 is a gapful number since it is divisible by the number (44) 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 489777024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729308160).

489777024 is an abundant number, since it is smaller than the sum of its proper divisors (968839296).

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

489777024 is a wasteful number, since it uses less digits than its factorization.

489777024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 489777024 is about 22130.9065336240. The cubic root of 489777024 is about 788.2539142396.

The spelling of 489777024 in words is "four hundred eighty-nine million, seven hundred seventy-seven thousand, twenty-four".