505128960 has 576 divisors, whose sum is σ = 2146435200. Its totient is φ = 111476736.

The previous prime is 505128947. The next prime is 505128961. The reversal of 505128960 is 69821505.

It is a happy number.

505128960 is a `hidden beast` number, since 5 + 0 + 512 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505128961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17418226 + ... + 17418254.

It is an arithmetic number, because the mean of its divisors is an integer number (3726450).

Almost surely, 2^505128960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073217600).

505128960 is an abundant number, since it is smaller than the sum of its proper divisors (1641306240).

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

505128960 is an equidigital number, since it uses as much as digits as its factorization.

505128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 505128960 is about 22475.0741934259. The cubic root of 505128960 is about 796.4052043332.

The spelling of 505128960 in words is "five hundred five million, one hundred twenty-eight thousand, nine hundred sixty".