489468672 has 432 divisors, whose sum is σ = 1836656640. Its totient is φ = 121651200.

The previous prime is 489468667. The next prime is 489468719. The reversal of 489468672 is 276864984.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5499604 + ... + 5499692.

It is an arithmetic number, because the mean of its divisors is an integer number (4251520).

Almost surely, 2^489468672 is an apocalyptic number.

489468672 is a gapful number since it is divisible by the number (42) 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 489468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918328320).

489468672 is an abundant number, since it is smaller than the sum of its proper divisors (1347187968).

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

489468672 is a wasteful number, since it uses less digits than its factorization.

489468672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 489468672 is about 22123.9388898089. The cubic root of 489468672 is about 788.0884575215.

The spelling of 489468672 in words is "four hundred eighty-nine million, four hundred sixty-eight thousand, six hundred seventy-two".