506134080 has 336 divisors, whose sum is σ = 1837602624. Its totient is φ = 127733760.

The previous prime is 506134073. The next prime is 506134091. The reversal of 506134080 is 80431605.

506134080 is a `hidden beast` number, since 5 + 0 + 613 + 40 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7554207 + ... + 7554273.

Almost surely, 2^506134080 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 506134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918801312).

506134080 is an abundant number, since it is smaller than the sum of its proper divisors (1331468544).

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

506134080 is a wasteful number, since it uses less digits than its factorization.

506134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 506134080 is about 22497.4238525214. The cubic root of 506134080 is about 796.9330909439.

Adding to 506134080 its reverse (80431605), we get a palindrome (586565685).

The spelling of 506134080 in words is "five hundred six million, one hundred thirty-four thousand, eighty".