504312032 has 48 divisors (see below), whose sum is σ = 1150283232. Its totient is φ = 213166080.

The previous prime is 504312031. The next prime is 504312049. The reversal of 504312032 is 230213405.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 504311995 and 504312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504312031) 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 7 ways as a sum of consecutive naturals, for example, 932 + ... + 31772.

It is an arithmetic number, because the mean of its divisors is an integer number (23964234).

Almost surely, 2^504312032 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 504312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575141616).

504312032 is an abundant number, since it is smaller than the sum of its proper divisors (645971200).

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

504312032 is a wasteful number, since it uses less digits than its factorization.

504312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30931 (or 30923 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 504312032 is about 22456.8927503339. The cubic root of 504312032 is about 795.9756396003.

Adding to 504312032 its reverse (230213405), we get a palindrome (734525437).

The spelling of 504312032 in words is "five hundred four million, three hundred twelve thousand, thirty-two".