490168224 has 288 divisors, whose sum is σ = 1750170240. Its totient is φ = 126683136.

The previous prime is 490168201. The next prime is 490168241. The reversal of 490168224 is 422861094.

490168224 is a `hidden beast` number, since 490 + 168 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1546114 + ... + 1546430.

It is an arithmetic number, because the mean of its divisors is an integer number (6076980).

Almost surely, 2^490168224 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 490168224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875085120).

490168224 is an abundant number, since it is smaller than the sum of its proper divisors (1260002016).

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

490168224 is a wasteful number, since it uses less digits than its factorization.

490168224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 490168224 is about 22139.7430879403. The cubic root of 490168224 is about 788.4637259514.

The spelling of 490168224 in words is "four hundred ninety million, one hundred sixty-eight thousand, two hundred twenty-four".