504952 has 32 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 211680.

The previous prime is 504947. The next prime is 504953. The reversal of 504952 is 259405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504953) by changing a digit.

504952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3913 + ... + 4039.

It is an arithmetic number, because the mean of its divisors is an integer number (34560).

2⁵⁰⁴⁹⁵² 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 504952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

504952 is an abundant number, since it is smaller than the sum of its proper divisors (600968).

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

504952 is a wasteful number, since it uses less digits than its factorization.

504952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 504952 is about 710.5997466929. The cubic root of 504952 is about 79.6312192887.

The spelling of 504952 in words is "five hundred four thousand, nine hundred fifty-two".