493586496 has 168 divisors, whose sum is σ = 1576837080. Its totient is φ = 146571264.

The previous prime is 493586461. The next prime is 493586497. The reversal of 493586496 is 694685394.

493586496 is a `hidden beast` number, since 49 + 35 + 86 + 496 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87160896 + 406425600 = 9336^2 + 20160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493586497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216016 + ... + 218288.

It is an arithmetic number, because the mean of its divisors is an integer number (9385935).

Almost surely, 2^493586496 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 493586496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788418540).

493586496 is an abundant number, since it is smaller than the sum of its proper divisors (1083250584).

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

493586496 is a wasteful number, since it uses less digits than its factorization.

493586496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2320 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 493586496 is about 22216.8066112122. The cubic root of 493586496 is about 790.2923107776.

The spelling of 493586496 in words is "four hundred ninety-three million, five hundred eighty-six thousand, four hundred ninety-six".