493581088 has 192 divisors, whose sum is σ = 1375073280. Its totient is φ = 167961600.

The previous prime is 493581059. The next prime is 493581091. The reversal of 493581088 is 880185394.

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, 608203 + ... + 609013.

It is an arithmetic number, because the mean of its divisors is an integer number (7161840).

Almost surely, 2^493581088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493581088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687536640).

493581088 is an abundant number, since it is smaller than the sum of its proper divisors (881492192).

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

493581088 is a wasteful number, since it uses less digits than its factorization.

493581088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 493581088 is about 22216.6849012178. The cubic root of 493581088 is about 790.2894244774.

It can be divided in two parts, 493 and 581088, that added together give a triangular number (581581 = T₁₀₇₈).

The spelling of 493581088 in words is "four hundred ninety-three million, five hundred eighty-one thousand, eighty-eight".