493296 has 40 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 159936.

The previous prime is 493291. The next prime is 493301. The reversal of 493296 is 692394.

It is an interprime number because it is at equal distance from previous prime (493291) and next prime (493301).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 493296.

It is not an unprimeable number, because it can be changed into a prime (493291) by changing a digit.

493296 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 7 ways as a sum of consecutive naturals, for example, 1945 + ... + 2183.

It is an arithmetic number, because the mean of its divisors is an integer number (32736).

2⁴⁹³²⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

493296 is an abundant number, since it is smaller than the sum of its proper divisors (816144).

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

493296 is a wasteful number, since it uses less digits than its factorization.

493296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 493296 is about 702.3503399302. The cubic root of 493296 is about 79.0137240484.

The spelling of 493296 in words is "four hundred ninety-three thousand, two hundred ninety-six".