490896 has 60 divisors (see below), whose sum is σ = 1573312. Its totient is φ = 139968.

The previous prime is 490891. The next prime is 490913. The reversal of 490896 is 698094.

490896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 490896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 765 + ... + 1251.

2⁴⁹⁰⁸⁹⁶ 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 490896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786656).

490896 is an abundant number, since it is smaller than the sum of its proper divisors (1082416).

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

490896 is a wasteful number, since it uses less digits than its factorization.

490896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 490896 is about 700.6397076958. The cubic root of 490896 is about 78.8853756141.

The spelling of 490896 in words is "four hundred ninety thousand, eight hundred ninety-six".