490112 has 32 divisors (see below), whose sum is σ = 1117920. Its totient is φ = 209664.

The previous prime is 490111. The next prime is 490117. The reversal of 490112 is 211094.

It is a happy number.

490112 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 490112.

It is not an unprimeable number, because it can be changed into a prime (490111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 623 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (34935).

2⁴⁹⁰¹¹² 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 490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558960).

490112 is an abundant number, since it is smaller than the sum of its proper divisors (627808).

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

490112 is an equidigital number, since it uses as much as digits as its factorization.

490112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 490112 is about 700.0799954291. The cubic root of 490112 is about 78.8433578288.

It can be divided in two parts, 4901 and 12, that added together give a cube (4913 = 17³).

The spelling of 490112 in words is "four hundred ninety thousand, one hundred twelve".