496752 has 40 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 162240.

The previous prime is 496747. The next prime is 496763. The reversal of 496752 is 257694.

It is a congruent number.

It is an unprimeable number.

496752 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, 3727 + ... + 3857.

It is an arithmetic number, because the mean of its divisors is an integer number (32736).

2⁴⁹⁶⁷⁵² 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 496752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

496752 is an abundant number, since it is smaller than the sum of its proper divisors (812688).

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

496752 is a wasteful number, since it uses less digits than its factorization.

496752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 496752 is about 704.8063563845. The cubic root of 496752 is about 79.1978164891.

The spelling of 496752 in words is "four hundred ninety-six thousand, seven hundred fifty-two".