506550080 has 56 divisors (see below), whose sum is σ = 1235674440. Its totient is φ = 197672960.

The previous prime is 506550073. The next prime is 506550101. The reversal of 506550080 is 80055605.

It can be written as a sum of positive squares in 4 ways, for example, as 2637376 + 503912704 = 1624^2 + 22448^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6185 + ... + 32424.

It is an arithmetic number, because the mean of its divisors is an integer number (22065615).

Almost surely, 2^506550080 is an apocalyptic number.

It is an amenable number.

506550080 is an abundant number, since it is smaller than the sum of its proper divisors (729124360).

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

506550080 is a wasteful number, since it uses less digits than its factorization.

506550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38667 (or 38657 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 506550080 is about 22506.6674565561. The cubic root of 506550080 is about 797.1513686639.

The spelling of 506550080 in words is "five hundred six million, five hundred fifty thousand, eighty".