486528768 has 288 divisors, whose sum is σ = 1609036800. Its totient is φ = 145566720.

The previous prime is 486528727. The next prime is 486528769. The reversal of 486528768 is 867825684.

486528768 is a `hidden beast` number, since 48 + 6 + 528 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486528769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6158553 + ... + 6158631.

Almost surely, 2^486528768 is an apocalyptic number.

486528768 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 486528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804518400).

486528768 is an abundant number, since it is smaller than the sum of its proper divisors (1122508032).

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

486528768 is an frugal number, since it uses more digits than its factorization.

486528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 486528768 is about 22057.3971265877. The cubic root of 486528768 is about 786.5074515793.

It can be divided in two parts, 4865 and 28768, that added together give a palindrome (33633).

The spelling of 486528768 in words is "four hundred eighty-six million, five hundred twenty-eight thousand, seven hundred sixty-eight".