496992 has 48 divisors (see below), whose sum is σ = 1354752. Its totient is φ = 159360.

The previous prime is 496963. The next prime is 496997. The reversal of 496992 is 299694.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 496992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2893 + ... + 3059.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2⁴⁹⁶⁹⁹² 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 496992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376).

496992 is an abundant number, since it is smaller than the sum of its proper divisors (857760).

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

496992 is a wasteful number, since it uses less digits than its factorization.

496992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 496992 is about 704.9765953562. The cubic root of 496992 is about 79.2105689395.

The spelling of 496992 in words is "four hundred ninety-six thousand, nine hundred ninety-two".