506050560 has 432 divisors, whose sum is σ = 1961177400. Its totient is φ = 120324096.

The previous prime is 506050553. The next prime is 506050561. The reversal of 506050560 is 65050605.

506050560 is a `hidden beast` number, since 5 + 0 + 605 + 0 + 56 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506050561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26634231 + ... + 26634249.

Almost surely, 2^506050560 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 506050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980588700).

506050560 is an abundant number, since it is smaller than the sum of its proper divisors (1455126840).

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

506050560 is a wasteful number, since it uses less digits than its factorization.

506050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 506050560 is about 22495.5675634112. The cubic root of 506050560 is about 796.8892530784.

The spelling of 506050560 in words is "five hundred six million, fifty thousand, five hundred sixty".