493546560 has 224 divisors, whose sum is σ = 1714390272. Its totient is φ = 119562240.

The previous prime is 493546553. The next prime is 493546579. The reversal of 493546560 is 65645394.

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, 885802 + ... + 886358.

It is an arithmetic number, because the mean of its divisors is an integer number (7653528).

Almost surely, 2^493546560 is an apocalyptic number.

493546560 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 493546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857195136).

493546560 is an abundant number, since it is smaller than the sum of its proper divisors (1220843712).

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

493546560 is a wasteful number, since it uses less digits than its factorization.

493546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 493546560 is about 22215.9078139967. The cubic root of 493546560 is about 790.2709960637.

The spelling of 493546560 in words is "four hundred ninety-three million, five hundred forty-six thousand, five hundred sixty".