492752 has 40 divisors (see below), whose sum is σ = 1083264. Its totient is φ = 215424.

The previous prime is 492731. The next prime is 492757. The reversal of 492752 is 257294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492757) by changing a digit.

492752 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 7 ways as a sum of consecutive naturals, for example, 4733 + ... + 4835.

2⁴⁹²⁷⁵² 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 492752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541632).

492752 is an abundant number, since it is smaller than the sum of its proper divisors (590512).

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

492752 is a wasteful number, since it uses less digits than its factorization.

492752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 492752 is about 701.9629619859. The cubic root of 492752 is about 78.9846682847.

The spelling of 492752 in words is "four hundred ninety-two thousand, seven hundred fifty-two".