506500434 has 72 divisors (see below), whose sum is σ = 1258822656. Its totient is φ = 146797200.

The previous prime is 506500433. The next prime is 506500441. The reversal of 506500434 is 434005605.

506500434 is a `hidden beast` number, since 5 + 0 + 650 + 0 + 4 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506500398 and 506500407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506500433) 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 35 ways as a sum of consecutive naturals, for example, 45039 + ... + 55149.

It is an arithmetic number, because the mean of its divisors is an integer number (17483648).

Almost surely, 2^506500434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506500434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629411328).

506500434 is an abundant number, since it is smaller than the sum of its proper divisors (752322222).

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

506500434 is a wasteful number, since it uses less digits than its factorization.

506500434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164 (or 10150 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 506500434 is about 22505.5645119157. The cubic root of 506500434 is about 797.1253253884.

The spelling of 506500434 in words is "five hundred six million, five hundred thousand, four hundred thirty-four".