496608 has 48 divisors (see below), whose sum is σ = 1491840. Its totient is φ = 141696.

The previous prime is 496583. The next prime is 496609. The reversal of 496608 is 806694.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496609) 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, 303 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (31080).

2⁴⁹⁶⁶⁰⁸ is an apocalyptic number.

496608 is a gapful number since it is divisible by the number (48) 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 496608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745920).

496608 is an abundant number, since it is smaller than the sum of its proper divisors (995232).

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

496608 is a wasteful number, since it uses less digits than its factorization.

496608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 496608 is about 704.7041932613. The cubic root of 496608 is about 79.1901630472.

The spelling of 496608 in words is "four hundred ninety-six thousand, six hundred eight".