506565432 has 96 divisors (see below), whose sum is σ = 1441908000. Its totient is φ = 160351488.

The previous prime is 506565431. The next prime is 506565461. The reversal of 506565432 is 234565605.

It is a happy number.

506565432 is a `hidden beast` number, since 50 + 6 + 565 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506565431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245718 + ... + 247770.

It is an arithmetic number, because the mean of its divisors is an integer number (15019875).

Almost surely, 2^506565432 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 506565432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720954000).

506565432 is an abundant number, since it is smaller than the sum of its proper divisors (935342568).

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

506565432 is a wasteful number, since it uses less digits than its factorization.

506565432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 506565432 is about 22507.0085084624. The cubic root of 506565432 is about 797.1594216644.

The spelling of 506565432 in words is "five hundred six million, five hundred sixty-five thousand, four hundred thirty-two".