493164 has 72 divisors (see below), whose sum is σ = 1514240. Its totient is φ = 132192.

The previous prime is 493159. The next prime is 493169. The reversal of 493164 is 461394.

It is an interprime number because it is at equal distance from previous prime (493159) and next prime (493169).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (493169) by changing a digit.

493164 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 23 ways as a sum of consecutive naturals, for example, 4737 + ... + 4839.

2⁴⁹³¹⁶⁴ 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 493164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757120).

493164 is an abundant number, since it is smaller than the sum of its proper divisors (1021076).

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

493164 is a wasteful number, since it uses less digits than its factorization.

493164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 134 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 493164 is about 702.2563634457. The cubic root of 493164 is about 79.0066757164.

The spelling of 493164 in words is "four hundred ninety-three thousand, one hundred sixty-four".