493586560 has 64 divisors (see below), whose sum is σ = 1242115200. Its totient is φ = 187038720.

The previous prime is 493586531. The next prime is 493586567. The reversal of 493586560 is 65685394.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 493586560.

It is not an unprimeable number, because it can be changed into a prime (493586567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8136 + ... + 32455.

It is an arithmetic number, because the mean of its divisors is an integer number (19408050).

Almost surely, 2^493586560 is an apocalyptic number.

493586560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493586560 is an abundant number, since it is smaller than the sum of its proper divisors (748528640).

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

493586560 is a wasteful number, since it uses less digits than its factorization.

493586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40629 (or 40617 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The square root of 493586560 is about 22216.8080515631. The cubic root of 493586560 is about 790.2923449349.

The spelling of 493586560 in words is "four hundred ninety-three million, five hundred eighty-six thousand, five hundred sixty".