490560 has 112 divisors (see below), whose sum is σ = 1804416. Its totient is φ = 110592.

The previous prime is 490559. The next prime is 490571. The reversal of 490560 is 65094.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×490560² = 481298227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 490560.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 490560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6684 + ... + 6756.

2⁴⁹⁰⁵⁶⁰ is an apocalyptic number.

490560 is a gapful number since it is divisible by the number (40) 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 490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902208).

490560 is an abundant number, since it is smaller than the sum of its proper divisors (1313856).

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

490560 is a wasteful number, since it uses less digits than its factorization.

490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 490560 is about 700.3998857795. The cubic root of 490560 is about 78.8673734739.

The spelling of 490560 in words is "four hundred ninety thousand, five hundred sixty".