496320 has 112 divisors (see below), whose sum is σ = 1755648. Its totient is φ = 117760.

The previous prime is 496313. The next prime is 496333. The reversal of 496320 is 23694.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

496320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10537 + ... + 10583.

2⁴⁹⁶³²⁰ is an apocalyptic number.

496320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 704×705.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877824).

496320 is an abundant number, since it is smaller than the sum of its proper divisors (1259328).

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

496320 is a wasteful number, since it uses less digits than its factorization.

496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 496320 is about 704.4998225692. The cubic root of 496320 is about 79.1748517237.

The spelling of 496320 in words is "four hundred ninety-six thousand, three hundred twenty".