506504430 has 96 divisors (see below), whose sum is σ = 1391644800. Its totient is φ = 127604736.

The previous prime is 506504423. The next prime is 506504483. The reversal of 506504430 is 34405605.

506504430 is a `hidden beast` number, since 5 + 0 + 650 + 4 + 4 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 506504394 and 506504403.

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, 120606 + ... + 124734.

It is an arithmetic number, because the mean of its divisors is an integer number (14496300).

Almost surely, 2^506504430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506504430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695822400).

506504430 is an abundant number, since it is smaller than the sum of its proper divisors (885140370).

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

506504430 is a wasteful number, since it uses less digits than its factorization.

506504430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4215 counting only the distinct ones).

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

The square root of 506504430 is about 22505.6532897848. The cubic root of 506504430 is about 797.1274216712.

The spelling of 506504430 in words is "five hundred six million, five hundred four thousand, four hundred thirty".