506585416 has 16 divisors (see below), whose sum is σ = 950486400. Its totient is φ = 253122384.

The previous prime is 506585413. The next prime is 506585461. The reversal of 506585416 is 614585605.

It is not an unprimeable number, because it can be changed into a prime (506585413) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8176 + ... + 32863.

It is an arithmetic number, because the mean of its divisors is an integer number (59405400).

Almost surely, 2^506585416 is an apocalyptic number.

It is an amenable number.

506585416 is a deficient number, since it is larger than the sum of its proper divisors (443900984).

506585416 is a wasteful number, since it uses less digits than its factorization.

506585416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42588 (or 42584 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 506585416 is about 22507.4524546871. The cubic root of 506585416 is about 797.1699041696.

The spelling of 506585416 in words is "five hundred six million, five hundred eighty-five thousand, four hundred sixteen".