500752 has 40 divisors (see below), whose sum is σ = 1178496. Its totient is φ = 201216.

The previous prime is 500741. The next prime is 500777. The reversal of 500752 is 257005.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 1773 + ... + 2035.

2⁵⁰⁰⁷⁵² 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 500752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248).

500752 is an abundant number, since it is smaller than the sum of its proper divisors (677744).

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

500752 is a wasteful number, since it uses less digits than its factorization.

500752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 500752 is about 707.6383257004. The cubic root of 500752 is about 79.4098235196.

Adding to 500752 its reverse (257005), we get a palindrome (757757).

The spelling of 500752 in words is "five hundred thousand, seven hundred fifty-two".