505984128 has 64 divisors (see below), whose sum is σ = 1447420800. Its totient is φ = 155685888.

The previous prime is 505984109. The next prime is 505984151. The reversal of 505984128 is 821489505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 505984128.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 45688 + ... + 55671.

It is an arithmetic number, because the mean of its divisors is an integer number (22615950).

Almost surely, 2^505984128 is an apocalyptic number.

It is an amenable number.

505984128 is an abundant number, since it is smaller than the sum of its proper divisors (941436672).

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

505984128 is a wasteful number, since it uses less digits than its factorization.

505984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101389 (or 101377 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 505984128 is about 22494.0909574048. The cubic root of 505984128 is about 796.8543808952.

The spelling of 505984128 in words is "five hundred five million, nine hundred eighty-four thousand, one hundred twenty-eight".