493696 has 64 divisors (see below), whose sum is σ = 1224000. Its totient is φ = 193536.

The previous prime is 493693. The next prime is 493709. The reversal of 493696 is 696394.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (493693) 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, 17010 + ... + 17038.

It is an arithmetic number, because the mean of its divisors is an integer number (19125).

2⁴⁹³⁶⁹⁶ is an apocalyptic number.

493696 is the 406-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612000).

493696 is an abundant number, since it is smaller than the sum of its proper divisors (730304).

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

493696 is a wasteful number, since it uses less digits than its factorization.

493696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 57 counting only the distinct ones).

The product of its digits is 34992, while the sum is 37.

The square root of 493696 is about 702.6350404015. The cubic root of 493696 is about 79.0350749552.

The spelling of 493696 in words is "four hundred ninety-three thousand, six hundred ninety-six".