493800 has 48 divisors (see below), whose sum is σ = 1532640. Its totient is φ = 131520.

The previous prime is 493793. The next prime is 493807. The reversal of 493800 is 8394.

It is an interprime number because it is at equal distance from previous prime (493793) and next prime (493807).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (493807) by changing a digit.

493800 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 11 ways as a sum of consecutive naturals, for example, 189 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (31930).

2⁴⁹³⁸⁰⁰ is an apocalyptic number.

493800 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 493800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766320).

493800 is an abundant number, since it is smaller than the sum of its proper divisors (1038840).

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

493800 is a wasteful number, since it uses less digits than its factorization.

493800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 493800 is about 702.7090436304. The cubic root of 493800 is about 79.0406243019.

The spelling of 493800 in words is "four hundred ninety-three thousand, eight hundred".