490480 has 20 divisors (see below), whose sum is σ = 1140552. Its totient is φ = 196160.

The previous prime is 490463. The next prime is 490481. The reversal of 490480 is 84094.

It is a tau number, because it is divible by the number of its divisors (20).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490481) by changing a digit.

490480 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 3 ways as a sum of consecutive naturals, for example, 2986 + ... + 3145.

2⁴⁹⁰⁴⁸⁰ is an apocalyptic number.

490480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490480 is an abundant number, since it is smaller than the sum of its proper divisors (650072).

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

490480 is a wasteful number, since it uses less digits than its factorization.

490480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 490480 is about 700.3427732189. The cubic root of 490480 is about 78.8630860385.

The spelling of 490480 in words is "four hundred ninety thousand, four hundred eighty".