493200 has 90 divisors (see below), whose sum is σ = 1724034. Its totient is φ = 130560.

The previous prime is 493193. The next prime is 493201. The reversal of 493200 is 2394.

493200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 41616 + 451584 = 204^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 493200.

It is not an unprimeable number, because it can be changed into a prime (493201) by changing a digit.

493200 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 17 ways as a sum of consecutive naturals, for example, 3532 + ... + 3668.

2⁴⁹³²⁰⁰ is an apocalyptic number.

493200 is a gapful number since it is divisible by the number (40) 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 493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862017).

493200 is an abundant number, since it is smaller than the sum of its proper divisors (1230834).

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

493200 is a wasteful number, since it uses less digits than its factorization.

493200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 493200 is about 702.2819946432. The cubic root of 493200 is about 79.0085981135.

Adding to 493200 its reverse (2394), we get a palindrome (495594).

It can be divided in two parts, 49 and 3200, that added together give a square (3249 = 57²).

The spelling of 493200 in words is "four hundred ninety-three thousand, two hundred".