505242432 has 84 divisors (see below), whose sum is σ = 1481937600. Its totient is φ = 164489472.

The previous prime is 505242427. The next prime is 505242571. The reversal of 505242432 is 234242505.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 505242396 and 505242405.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14569 + ... + 34967.

Almost surely, 2^505242432 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 505242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740968800).

505242432 is an abundant number, since it is smaller than the sum of its proper divisors (976695168).

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

505242432 is a wasteful number, since it uses less digits than its factorization.

505242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20460 (or 20447 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 505242432 is about 22477.5984482329. The cubic root of 505242432 is about 796.4648346009.

Adding to 505242432 its reverse (234242505), we get a palindrome (739484937).

The spelling of 505242432 in words is "five hundred five million, two hundred forty-two thousand, four hundred thirty-two".