506752 has 32 divisors (see below), whose sum is σ = 1046520. Its totient is φ = 244224.

The previous prime is 506743. The next prime is 506773. The reversal of 506752 is 257605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

506752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4683 + ... + 4789.

2⁵⁰⁶⁷⁵² 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 506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523260).

506752 is an abundant number, since it is smaller than the sum of its proper divisors (539768).

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

506752 is a wasteful number, since it uses less digits than its factorization.

506752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 506752 is about 711.8651557704. The cubic root of 506752 is about 79.7257274232.

The spelling of 506752 in words is "five hundred six thousand, seven hundred fifty-two".