490100 has 54 divisors (see below), whose sum is σ = 1191330. Its totient is φ = 174720.

The previous prime is 490097. The next prime is 490103. The reversal of 490100 is 1094.

It is an interprime number because it is at equal distance from previous prime (490097) and next prime (490103).

It can be written as a sum of positive squares in 9 ways, for example, as 306916 + 183184 = 554^2 + 428^2 .

It is a nialpdrome in base 14.

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 490100.

It is not an unprimeable number, because it can be changed into a prime (490103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16886 + ... + 16914.

2⁴⁹⁰¹⁰⁰ 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 490100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595665).

490100 is an abundant number, since it is smaller than the sum of its proper divisors (701230).

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

490100 is a wasteful number, since it uses less digits than its factorization.

490100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 490100 is about 700.0714249275. The cubic root of 490100 is about 78.8427143514.

Adding to 490100 its reverse (1094), we get a palindrome (491194).

The spelling of 490100 in words is "four hundred ninety thousand, one hundred".