490805568 has 336 divisors, whose sum is σ = 1686397440. Its totient is φ = 139968000.

The previous prime is 490805543. The next prime is 490805611. The reversal of 490805568 is 865508094.

490805568 is a `hidden beast` number, since 4 + 9 + 0 + 80 + 5 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3250293 + ... + 3250443.

It is an arithmetic number, because the mean of its divisors is an integer number (5019040).

Almost surely, 2^490805568 is an apocalyptic number.

490805568 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 490805568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843198720).

490805568 is an abundant number, since it is smaller than the sum of its proper divisors (1195591872).

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

490805568 is a wasteful number, since it uses less digits than its factorization.

490805568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 490805568 is about 22154.1320750780. The cubic root of 490805568 is about 788.8053127475.

The spelling of 490805568 in words is "four hundred ninety million, eight hundred five thousand, five hundred sixty-eight".