506682432 has 112 divisors (see below), whose sum is σ = 1541068800. Its totient is φ = 163054080.

The previous prime is 506682413. The next prime is 506682437. The reversal of 506682432 is 234286605.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (506682437) 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 15 ways as a sum of consecutive naturals, for example, 45057 + ... + 55167.

Almost surely, 2^506682432 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 506682432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770534400).

506682432 is an abundant number, since it is smaller than the sum of its proper divisors (1034386368).

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

506682432 is a wasteful number, since it uses less digits than its factorization.

506682432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161 (or 10145 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 506682432 is about 22509.6075487779. The cubic root of 506682432 is about 797.2207895001.

The spelling of 506682432 in words is "five hundred six million, six hundred eighty-two thousand, four hundred thirty-two".