496480 has 48 divisors (see below), whose sum is σ = 1224720. Its totient is φ = 189952.

The previous prime is 496477. The next prime is 496481. The reversal of 496480 is 84694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496481) 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, 4587 + ... + 4693.

It is an arithmetic number, because the mean of its divisors is an integer number (25515).

2⁴⁹⁶⁴⁸⁰ is an apocalyptic number.

496480 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 496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612360).

496480 is an abundant number, since it is smaller than the sum of its proper divisors (728240).

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

496480 is a wasteful number, since it uses less digits than its factorization.

496480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 496480 is about 704.6133691607. The cubic root of 496480 is about 79.1833587456.

The spelling of 496480 in words is "four hundred ninety-six thousand, four hundred eighty".