506624080 has 40 divisors (see below), whose sum is σ = 1189582344. Its totient is φ = 200640000.

The previous prime is 506624071. The next prime is 506624101. The reversal of 506624080 is 80426605.

It can be written as a sum of positive squares in 4 ways, for example, as 162001984 + 344622096 = 12728^2 + 18564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

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, 23271 + ... + 39430.

Almost surely, 2^506624080 is an apocalyptic number.

It is an amenable number.

506624080 is an abundant number, since it is smaller than the sum of its proper divisors (682958264).

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

506624080 is a wasteful number, since it uses less digits than its factorization.

506624080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62815 (or 62809 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 506624080 is about 22508.3113538088. The cubic root of 506624080 is about 797.1901843910.

The spelling of 506624080 in words is "five hundred six million, six hundred twenty-four thousand, eighty".