493959564 has 72 divisors (see below), whose sum is σ = 1451224320. Its totient is φ = 138735072.

The previous prime is 493959539. The next prime is 493959637. The reversal of 493959564 is 465959394.

493959564 is a `hidden beast` number, since 49 + 3 + 9 + 595 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 493959564.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1744 + ... + 31479.

Almost surely, 2^493959564 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 493959564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725612160).

493959564 is an abundant number, since it is smaller than the sum of its proper divisors (957264756).

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

493959564 is a wasteful number, since it uses less digits than its factorization.

493959564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33299 (or 33294 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The square root of 493959564 is about 22225.2011014524. The cubic root of 493959564 is about 790.4913697903.

The spelling of 493959564 in words is "four hundred ninety-three million, nine hundred fifty-nine thousand, five hundred sixty-four".