490567168 has 80 divisors (see below), whose sum is σ = 1206485280. Its totient is φ = 194052096.

The previous prime is 490567163. The next prime is 490567171. The reversal of 490567168 is 861765094.

It is a super-2 number, since 2×490567168² = 481312292639080448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490567163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41328 + ... + 51856.

It is an arithmetic number, because the mean of its divisors is an integer number (15081066).

Almost surely, 2^490567168 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 490567168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603242640).

490567168 is an abundant number, since it is smaller than the sum of its proper divisors (715918112).

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

490567168 is a wasteful number, since it uses less digits than its factorization.

490567168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10567 (or 10551 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 490567168 is about 22148.7509354365. The cubic root of 490567168 is about 788.6775760533.

The spelling of 490567168 in words is "four hundred ninety million, five hundred sixty-seven thousand, one hundred sixty-eight".