506939008 has 32 divisors (see below), whose sum is σ = 1015543620. Its totient is φ = 252057600.

The previous prime is 506939003. The next prime is 506939009. The reversal of 506939008 is 800939605.

It can be written as a sum of positive squares in 2 ways, for example, as 301647424 + 205291584 = 17368^2 + 14328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (506939003) 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, 12228 + ... + 34108.

Almost surely, 2^506939008 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 506939008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507771810).

506939008 is an abundant number, since it is smaller than the sum of its proper divisors (508604612).

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

506939008 is a wasteful number, since it uses less digits than its factorization.

506939008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22076 (or 22064 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 506939008 is about 22515.3060827518. The cubic root of 506939008 is about 797.3553334745.

The spelling of 506939008 in words is "five hundred six million, nine hundred thirty-nine thousand, eight".