506624464 has 20 divisors (see below), whose sum is σ = 983304004. Its totient is φ = 252868608.

The previous prime is 506624449. The next prime is 506624467. The reversal of 506624464 is 464426605.

It can be written as a sum of positive squares in 2 ways, for example, as 502656400 + 3968064 = 22420^2 + 1992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506624467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18207 + ... + 36670.

Almost surely, 2^506624464 is an apocalyptic number.

It is an amenable number.

506624464 is a deficient number, since it is larger than the sum of its proper divisors (476679540).

506624464 is a wasteful number, since it uses less digits than its factorization.

506624464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55462 (or 55456 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 506624464 is about 22508.3198839896. The cubic root of 506624464 is about 797.1903858033.

The spelling of 506624464 in words is "five hundred six million, six hundred twenty-four thousand, four hundred sixty-four".