505065960 has 384 divisors, whose sum is σ = 1976832000. Its totient is φ = 109444608.

The previous prime is 505065941. The next prime is 505065973. The reversal of 505065960 is 69560505.

505065960 is a `hidden beast` number, since 505 + 0 + 65 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6393201 + ... + 6393279.

It is an arithmetic number, because the mean of its divisors is an integer number (5148000).

Almost surely, 2^505065960 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 505065960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988416000).

505065960 is an abundant number, since it is smaller than the sum of its proper divisors (1471766040).

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

505065960 is a wasteful number, since it uses less digits than its factorization.

505065960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 505065960 is about 22473.6725970634. The cubic root of 505065960 is about 796.3720935715.

The spelling of 505065960 in words is "five hundred five million, sixty-five thousand, nine hundred sixty".