490800 has 60 divisors (see below), whose sum is σ = 1576040. Its totient is φ = 130560.

The previous prime is 490783. The next prime is 490829. The reversal of 490800 is 8094.

490800 = 108² + 109² + ... + 139².

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

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, 996 + ... + 1404.

2⁴⁹⁰⁸⁰⁰ is an apocalyptic number.

490800 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 490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788020).

490800 is an abundant number, since it is smaller than the sum of its proper divisors (1085240).

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

490800 is a wasteful number, since it uses less digits than its factorization.

490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 490800 is about 700.5711955255. The cubic root of 490800 is about 78.8802329839.

Adding to 490800 its reverse (8094), we get a palindrome (498894).

The spelling of 490800 in words is "four hundred ninety thousand, eight hundred".