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490 = 2572

490 has 12 divisors (see below), whose sum is σ = 1026. Its totient is φ = 168.

The previous prime is 487. The next prime is 491. The reversal of 490 is 94.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 441 + 49 = 21^2 + 7^2 .

It is an alternating number because its digits alternate between even and odd.

It is a partition number, being equal to the number of ways a set of 19 identical objects can be partitioned into subset.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 490.

It is not an unprimeable number, because it can be changed into a prime (491) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67 + ... + 73.

490 is an abundant number, since it is smaller than the sum of its proper divisors (536).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513).

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

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

The sum of its prime factors is 21 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 490 is about 22.1359436212. The cubic root of 490 is about 7.8837351631.

Subtracting from 490 its product of nonzero digits (36), we obtain a palindrome (454).

The spelling of 490 in words is "four hundred ninety", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490