505258560 has 280 divisors, whose sum is σ = 1824493176. Its totient is φ = 132710400.

The previous prime is 505258543. The next prime is 505258571. The reversal of 505258560 is 65852505.

505258560 is a `hidden beast` number, since 50 + 525 + 85 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107495424 + 397763136 = 10368^2 + 19944^2 .

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 39 ways as a sum of consecutive naturals, for example, 2617824 + ... + 2618016.

Almost surely, 2^505258560 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 505258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912246588).

505258560 is an abundant number, since it is smaller than the sum of its proper divisors (1319234616).

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

505258560 is a wasteful number, since it uses less digits than its factorization.

505258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 505258560 is about 22477.9572025574. The cubic root of 505258560 is about 796.4733092442.

The spelling of 505258560 in words is "five hundred five million, two hundred fifty-eight thousand, five hundred sixty".