493991568 has 320 divisors, whose sum is σ = 1728460800. Its totient is φ = 132088320.

The previous prime is 493991557. The next prime is 493991569. The reversal of 493991568 is 865199394.

493991568 is a `hidden beast` number, since 49 + 39 + 9 + 1 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493991569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3770863 + ... + 3770993.

It is an arithmetic number, because the mean of its divisors is an integer number (5401440).

Almost surely, 2^493991568 is an apocalyptic number.

493991568 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 493991568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864230400).

493991568 is an abundant number, since it is smaller than the sum of its proper divisors (1234469232).

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

493991568 is a wasteful number, since it uses less digits than its factorization.

493991568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 493991568 is about 22225.9210832757. The cubic root of 493991568 is about 790.5084415922.

The spelling of 493991568 in words is "four hundred ninety-three million, nine hundred ninety-one thousand, five hundred sixty-eight".