505984752 has 320 divisors, whose sum is σ = 1825438720. Its totient is φ = 130636800.

The previous prime is 505984729. The next prime is 505984777. The reversal of 505984752 is 257489505.

505984752 is a `hidden beast` number, since 5 + 0 + 598 + 4 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 505984698 and 505984707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2397927 + ... + 2398137.

It is an arithmetic number, because the mean of its divisors is an integer number (5704496).

Almost surely, 2^505984752 is an apocalyptic number.

505984752 is a gapful number since it is divisible by the number (52) 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 505984752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912719360).

505984752 is an abundant number, since it is smaller than the sum of its proper divisors (1319453968).

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

505984752 is a wasteful number, since it uses less digits than its factorization.

505984752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 505984752 is about 22494.1048277099. The cubic root of 505984752 is about 796.8547084660.

The spelling of 505984752 in words is "five hundred five million, nine hundred eighty-four thousand, seven hundred fifty-two".