496000 has 64 divisors (see below), whose sum is σ = 1272960. Its totient is φ = 192000.

The previous prime is 495983. The next prime is 496007. The reversal of 496000 is 694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15985 + ... + 16015.

It is an arithmetic number, because the mean of its divisors is an integer number (19890).

2⁴⁹⁶⁰⁰⁰ is an apocalyptic number.

496000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636480).

496000 is an abundant number, since it is smaller than the sum of its proper divisors (776960).

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

496000 is an equidigital number, since it uses as much as digits as its factorization.

496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 38 counting only the distinct ones).

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

The square root of 496000 is about 704.2726744664. The cubic root of 496000 is about 79.1578321936.

Adding to 496000 its reverse (694), we get a palindrome (496694).

The spelling of 496000 in words is "four hundred ninety-six thousand".