496584 has 96 divisors (see below), whose sum is σ = 1596000. Its totient is φ = 142560.

The previous prime is 496583. The next prime is 496609. The reversal of 496584 is 485694.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (496583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26127 + ... + 26145.

It is an arithmetic number, because the mean of its divisors is an integer number (16625).

2⁴⁹⁶⁵⁸⁴ is an apocalyptic number.

496584 is a gapful number since it is divisible by the number (44) 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 496584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798000).

496584 is an abundant number, since it is smaller than the sum of its proper divisors (1099416).

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

496584 is a wasteful number, since it uses less digits than its factorization.

496584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 35 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 496584 is about 704.6871646341. The cubic root of 496584 is about 79.1888873297.

The spelling of 496584 in words is "four hundred ninety-six thousand, five hundred eighty-four".