505330560 has 384 divisors, whose sum is σ = 2031644160. Its totient is φ = 113356800.

The previous prime is 505330547. The next prime is 505330561. The reversal of 505330560 is 65033505.

It is a happy number.

505330560 is a `hidden beast` number, since 50 + 53 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505330561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3346485 + ... + 3346635.

It is an arithmetic number, because the mean of its divisors is an integer number (5290740).

Almost surely, 2^505330560 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 505330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015822080).

505330560 is an abundant number, since it is smaller than the sum of its proper divisors (1526313600).

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

505330560 is a wasteful number, since it uses less digits than its factorization.

505330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 505330560 is about 22479.5587145300. The cubic root of 505330560 is about 796.5111402738.

The spelling of 505330560 in words is "five hundred five million, three hundred thirty thousand, five hundred sixty".