493344000 has 288 divisors, whose sum is σ = 1823902080. Its totient is φ = 131328000.

The previous prime is 493343993. The next prime is 493344011. The reversal of 493344000 is 443394.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863715 + ... + 864285.

Almost surely, 2^493344000 is an apocalyptic number.

493344000 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 493344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911951040).

493344000 is an abundant number, since it is smaller than the sum of its proper divisors (1330558080).

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

493344000 is an equidigital number, since it uses as much as digits as its factorization.

493344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 493344000 is about 22211.3484507357. The cubic root of 493344000 is about 790.1628676651.

Adding to 493344000 its reverse (443394), we get a palindrome (493787394).

The spelling of 493344000 in words is "four hundred ninety-three million, three hundred forty-four thousand".