506008332 has 36 divisors (see below), whose sum is σ = 1354318056. Its totient is φ = 158747520.

The previous prime is 506008309. The next prime is 506008339. The reversal of 506008332 is 233800605.

506008332 is a `hidden beast` number, since 50 + 600 + 8 + 3 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 506008296 and 506008305.

It is not an unprimeable number, because it can be changed into a prime (506008339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412794 + ... + 414017.

It is an arithmetic number, because the mean of its divisors is an integer number (37619946).

Almost surely, 2^506008332 is an apocalyptic number.

It is an amenable number.

506008332 is an abundant number, since it is smaller than the sum of its proper divisors (848309724).

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

506008332 is a wasteful number, since it uses less digits than its factorization.

506008332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826838 (or 826833 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 506008332 is about 22494.6289589315. The cubic root of 506008332 is about 796.8670866665.

Adding to 506008332 its reverse (233800605), we get a palindrome (739808937).

The spelling of 506008332 in words is "five hundred six million, eight thousand, three hundred thirty-two".