490980 has 72 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 111552.

The previous prime is 490969. The next prime is 490991. The reversal of 490980 is 89094.

It is an interprime number because it is at equal distance from previous prime (490969) and next prime (490991).

It is a super-2 number, since 2×490980² = 482122720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

490980 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 2857 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2⁴⁹⁰⁹⁸⁰ 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 490980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384).

490980 is an abundant number, since it is smaller than the sum of its proper divisors (1117788).

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

490980 is a wasteful number, since it uses less digits than its factorization.

490980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 490980 is about 700.6996503496. The cubic root of 490980 is about 78.8898748655.

The spelling of 490980 in words is "four hundred ninety thousand, nine hundred eighty".