490806 has 32 divisors (see below), whose sum is σ = 1116000. Its totient is φ = 159840.

The previous prime is 490783. The next prime is 490829. The reversal of 490806 is 608094.

It is an interprime number because it is at equal distance from previous prime (490783) and next prime (490829).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 490806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3220 + ... + 3368.

It is an arithmetic number, because the mean of its divisors is an integer number (34875).

2⁴⁹⁰⁸⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558000).

490806 is an abundant number, since it is smaller than the sum of its proper divisors (625194).

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

490806 is a wasteful number, since it uses less digits than its factorization.

490806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 490806 is about 700.5754777324. The cubic root of 490806 is about 78.8805544179.

It can be divided in two parts, 490 and 806, that added together give a 4-th power (1296 = 6⁴).

The spelling of 490806 in words is "four hundred ninety thousand, eight hundred six".