493193664 has 224 divisors, whose sum is σ = 1559600640. Its totient is φ = 152285184.

The previous prime is 493193651. The next prime is 493193671. The reversal of 493193664 is 466391394.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (419904) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3025647 + ... + 3025809.

Almost surely, 2^493193664 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 493193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779800320).

493193664 is an abundant number, since it is smaller than the sum of its proper divisors (1066406976).

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

493193664 is a wasteful number, since it uses less digits than its factorization.

493193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 493193664 is about 22207.9639769160. The cubic root of 493193664 is about 790.0825977837.

The spelling of 493193664 in words is "four hundred ninety-three million, one hundred ninety-three thousand, six hundred sixty-four".