485766528 has 256 divisors, whose sum is σ = 1487861760. Its totient is φ = 139345920.

The previous prime is 485766511. The next prime is 485766553. The reversal of 485766528 is 825667584.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 6654300 + ... + 6654372.

It is an arithmetic number, because the mean of its divisors is an integer number (5811960).

Almost surely, 2^485766528 is an apocalyptic number.

485766528 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 485766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743930880).

485766528 is an abundant number, since it is smaller than the sum of its proper divisors (1002095232).

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

485766528 is a wasteful number, since it uses less digits than its factorization.

485766528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 485766528 is about 22040.1117964497. Note that the first 3 decimals coincide. The cubic root of 485766528 is about 786.0964989745.

The spelling of 485766528 in words is "four hundred eighty-five million, seven hundred sixty-six thousand, five hundred twenty-eight".