505283688 has 288 divisors, whose sum is σ = 1792627200. Its totient is φ = 127201536.

The previous prime is 505283687. The next prime is 505283731. The reversal of 505283688 is 886382505.

It is a happy number.

505283688 is a `hidden beast` number, since 505 + 2 + 83 + 68 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (505283683) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1054633 + ... + 1055111.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2^505283688 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 505283688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896313600).

505283688 is an abundant number, since it is smaller than the sum of its proper divisors (1287343512).

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

505283688 is a wasteful number, since it uses less digits than its factorization.

505283688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 505283688 is about 22478.5161431977. The cubic root of 505283688 is about 796.4865126818.

The spelling of 505283688 in words is "five hundred five million, two hundred eighty-three thousand, six hundred eighty-eight".