504832 has 44 divisors (see below), whose sum is σ = 1105380. Its totient is φ = 229376.

The previous prime is 504821. The next prime is 504851. The reversal of 504832 is 238405.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 173056 = 576^2 + 416^2 .

It is a d-powerful number, because it can be written as 5 + 0 + 8⁵ + 4⁹ + 3¹¹ + 2¹⁵ .

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17394 + ... + 17422.

2⁵⁰⁴⁸³² 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 504832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552690).

504832 is an abundant number, since it is smaller than the sum of its proper divisors (600548).

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

504832 is a wasteful number, since it uses less digits than its factorization.

504832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 504832 is about 710.5153059576. The cubic root of 504832 is about 79.6249107660.

The spelling of 504832 in words is "five hundred four thousand, eight hundred thirty-two".