490400 has 36 divisors (see below), whose sum is σ = 1199142. Its totient is φ = 195840.

The previous prime is 490393. The next prime is 490417. The reversal of 490400 is 4094.

490400 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 190096 + 300304 = 436^2 + 548^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 490400.

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 5 ways as a sum of consecutive naturals, for example, 494 + ... + 1106.

2⁴⁹⁰⁴⁰⁰ is an apocalyptic number.

490400 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 490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599571).

490400 is an abundant number, since it is smaller than the sum of its proper divisors (708742).

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

490400 is a wasteful number, since it uses less digits than its factorization.

490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 490400 is about 700.2856560005. The cubic root of 490400 is about 78.8587981369.

Adding to 490400 its reverse (4094), we get a palindrome (494494).

The spelling of 490400 in words is "four hundred ninety thousand, four hundred".