493888512 has 176 divisors, whose sum is σ = 1444363200. Its totient is φ = 149127168.

The previous prime is 493888511. The next prime is 493888517. The reversal of 493888512 is 215888394.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (493888511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3314614 + ... + 3314762.

Almost surely, 2^493888512 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 493888512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722181600).

493888512 is an abundant number, since it is smaller than the sum of its proper divisors (950474688).

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

493888512 is a wasteful number, since it uses less digits than its factorization.

493888512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 493888512 is about 22223.6025882394. The cubic root of 493888512 is about 790.4534660899.

The spelling of 493888512 in words is "four hundred ninety-three million, eight hundred eighty-eight thousand, five hundred twelve".