490320 has 80 divisors (see below), whose sum is σ = 1696320. Its totient is φ = 130176.

The previous prime is 490313. The next prime is 490339. The reversal of 490320 is 23094.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 490293 and 490302.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2047 + ... + 2273.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2⁴⁹⁰³²⁰ is an apocalyptic number.

490320 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 490320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848160).

490320 is an abundant number, since it is smaller than the sum of its proper divisors (1206000).

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

490320 is a wasteful number, since it uses less digits than its factorization.

490320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 490320 is about 700.2285341230. The cubic root of 490320 is about 78.8545097690.

The spelling of 490320 in words is "four hundred ninety thousand, three hundred twenty".