493996608 has 168 divisors, whose sum is σ = 1713658752. Its totient is φ = 132820992.

The previous prime is 493996597. The next prime is 493996619. The reversal of 493996608 is 806699394.

It is a happy number.

493996608 is a `hidden beast` number, since 493 + 9 + 96 + 60 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (493996597) and next prime (493996619).

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 64941 + ... + 72147.

Almost surely, 2^493996608 is an apocalyptic number.

493996608 is a gapful number since it is divisible by the number (48) 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 493996608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856829376).

493996608 is an abundant number, since it is smaller than the sum of its proper divisors (1219662144).

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

493996608 is a wasteful number, since it uses less digits than its factorization.

493996608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 493996608 is about 22226.0344641144. The cubic root of 493996608 is about 790.5111299977.

The spelling of 493996608 in words is "four hundred ninety-three million, nine hundred ninety-six thousand, six hundred eight".