505709568 has 440 divisors, whose sum is σ = 1886384192. Its totient is φ = 131383296.

The previous prime is 505709551. The next prime is 505709587. The reversal of 505709568 is 865907505.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7547871 + ... + 7547937.

Almost surely, 2^505709568 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 505709568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943192096).

505709568 is an abundant number, since it is smaller than the sum of its proper divisors (1380674624).

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

505709568 is a wasteful number, since it uses less digits than its factorization.

505709568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 505709568 is about 22487.9871931660. The cubic root of 505709568 is about 796.7102235911.

The spelling of 505709568 in words is "five hundred five million, seven hundred nine thousand, five hundred sixty-eight".