496 has 10 divisors (see below), whose sum is σ = 992. Its totient is φ = 240.

The previous prime is 491. The next prime is 499. The reversal of 496 is 694.

Adding to 496 its sum of digits (19), we get a palindrome (515).

It can be divided in two parts, 49 and 6, that added together give a palindrome (55).

It is a happy number.

496 is nontrivially palindromic in base 13.

496 is a nontrivial binomial coefficient, being equal to C(32, 2).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is an alternating number because its digits alternate between even and odd.

496 is an undulating number in base 13.

It is a nialpdrome in base 2, base 8, base 9 and base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1 + ... + 31.

496 is the 31-st triangular number and also the 16-th hexagonal number.

496 is the 11-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496).

496 is a perfect number, since it is equal to the sum of its proper divisors.

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

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

The sum of its prime factors is 39 (or 33 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 496 is about 22.2710574513. The cubic root of 496 is about 7.9157832194.

The spelling of 496 in words is "four hundred ninety-six", and thus it is an aban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.042 sec. • engine limits •