505959168 has 288 divisors, whose sum is σ = 1681247232. Its totient is φ = 132710400.

The previous prime is 505959133. The next prime is 505959187. The reversal of 505959168 is 861959505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866873 + ... + 1867143.

It is an arithmetic number, because the mean of its divisors is an integer number (5837664).

Almost surely, 2^505959168 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 505959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840623616).

505959168 is an abundant number, since it is smaller than the sum of its proper divisors (1175288064).

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

505959168 is a wasteful number, since it uses less digits than its factorization.

505959168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 48.

The square root of 505959168 is about 22493.5361381887. The cubic root of 505959168 is about 796.8412778409.

The spelling of 505959168 in words is "five hundred five million, nine hundred fifty-nine thousand, one hundred sixty-eight".