489120 has 48 divisors (see below), whose sum is σ = 1542240. Its totient is φ = 130304.

The previous prime is 489113. The next prime is 489127. The reversal of 489120 is 21984.

It is an interprime number because it is at equal distance from previous prime (489113) and next prime (489127).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 489120.

It is not an unprimeable number, because it can be changed into a prime (489127) by changing a digit.

489120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

2⁴⁸⁹¹²⁰ is an apocalyptic number.

489120 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 489120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120).

489120 is an abundant number, since it is smaller than the sum of its proper divisors (1053120).

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

489120 is a wasteful number, since it uses less digits than its factorization.

489120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 489120 is about 699.3711461020. The cubic root of 489120 is about 78.7901282007.

The spelling of 489120 in words is "four hundred eighty-nine thousand, one hundred twenty".