493531200 has 126 divisors (see below), whose sum is σ = 1754177594. Its totient is φ = 131604480.

The previous prime is 493531189. The next prime is 493531243. The reversal of 493531200 is 2135394.

493531200 is a `hidden beast` number, since 493 + 53 + 120 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 109998144 + 383533056 = 10488^2 + 19584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2737 + ... + 31536.

Almost surely, 2^493531200 is an apocalyptic number.

493531200 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 493531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877088797).

493531200 is an abundant number, since it is smaller than the sum of its proper divisors (1260646394).

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

493531200 is a wasteful number, since it uses less digits than its factorization.

493531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34301 (or 34283 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 493531200 is about 22215.5621130774. The cubic root of 493531200 is about 790.2627977906.

Adding to 493531200 its reverse (2135394), we get a palindrome (495666594).

The spelling of 493531200 in words is "four hundred ninety-three million, five hundred thirty-one thousand, two hundred".