484320 has 48 divisors (see below), whose sum is σ = 1527120. Its totient is φ = 129024.

The previous prime is 484303. The next prime is 484327. The reversal of 484320 is 23484.

It is a happy number.

484320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484327) by changing a digit.

484320 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, 25 + ... + 984.

It is an arithmetic number, because the mean of its divisors is an integer number (31815).

2⁴⁸⁴³²⁰ is an apocalyptic number.

484320 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 484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763560).

484320 is an abundant number, since it is smaller than the sum of its proper divisors (1042800).

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

484320 is a wasteful number, since it uses less digits than its factorization.

484320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 484320 is about 695.9310310656. The cubic root of 484320 is about 78.5315437081.

The spelling of 484320 in words is "four hundred eighty-four thousand, three hundred twenty".