493008320 has 112 divisors (see below), whose sum is σ = 1356116160. Its totient is φ = 167215104.

The previous prime is 493008319. The next prime is 493008353. The reversal of 493008320 is 23800394.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216146 + ... + 218414.

It is an arithmetic number, because the mean of its divisors is an integer number (12108180).

Almost surely, 2^493008320 is an apocalyptic number.

493008320 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 493008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678058080).

493008320 is an abundant number, since it is smaller than the sum of its proper divisors (863107840).

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

493008320 is a wasteful number, since it uses less digits than its factorization.

493008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 493008320 is about 22203.7906673613. The cubic root of 493008320 is about 789.9836133972.

The spelling of 493008320 in words is "four hundred ninety-three million, eight thousand, three hundred twenty".