493600 has 36 divisors (see below), whose sum is σ = 1206954. Its totient is φ = 197120.

The previous prime is 493583. The next prime is 493607. The reversal of 493600 is 6394.

493600 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 219024 + 274576 = 468^2 + 524^2 .

It is not an unprimeable number, because it can be changed into a prime (493607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 492 + ... + 1108.

2⁴⁹³⁶⁰⁰ is an apocalyptic number.

493600 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 493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603477).

493600 is an abundant number, since it is smaller than the sum of its proper divisors (713354).

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

493600 is a wasteful number, since it uses less digits than its factorization.

493600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 493600 is about 702.5667228100. The cubic root of 493600 is about 79.0299517897.

Adding to 493600 its reverse (6394), we get a palindrome (499994).

It can be divided in two parts, 49 and 3600, that multiplied together give a square (176400 = 420²).

The spelling of 493600 in words is "four hundred ninety-three thousand, six hundred".