490200 has 96 divisors (see below), whose sum is σ = 1636800. Its totient is φ = 120960.

The previous prime is 490183. The next prime is 490201. The reversal of 490200 is 2094.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 490200.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 490200.

It is not an unprimeable number, because it can be changed into a prime (490201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11379 + ... + 11421.

It is an arithmetic number, because the mean of its divisors is an integer number (17050).

2⁴⁹⁰²⁰⁰ is an apocalyptic number.

490200 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 490200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818400).

490200 is an abundant number, since it is smaller than the sum of its proper divisors (1146600).

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

490200 is a wasteful number, since it uses less digits than its factorization.

490200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 490200 is about 700.1428425686. The cubic root of 490200 is about 78.8480763423.

Adding to 490200 its reverse (2094), we get a palindrome (492294).

The spelling of 490200 in words is "four hundred ninety thousand, two hundred".