485580768 has 96 divisors (see below), whose sum is σ = 1321689600. Its totient is φ = 155990016.

The previous prime is 485580763. The next prime is 485580773. The reversal of 485580768 is 867085584.

It is an interprime number because it is at equal distance from previous prime (485580763) and next prime (485580773).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 485580768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485580763) 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 15 ways as a sum of consecutive naturals, for example, 325368 + ... + 326856.

It is an arithmetic number, because the mean of its divisors is an integer number (13767600).

Almost surely, 2^485580768 is an apocalyptic number.

485580768 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 485580768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660844800).

485580768 is an abundant number, since it is smaller than the sum of its proper divisors (836108832).

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

485580768 is a wasteful number, since it uses less digits than its factorization.

485580768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The square root of 485580768 is about 22035.8972587912. The cubic root of 485580768 is about 785.9962835453.

The spelling of 485580768 in words is "four hundred eighty-five million, five hundred eighty thousand, seven hundred sixty-eight".