484560 has 60 divisors (see below), whose sum is σ = 1629732. Its totient is φ = 129024.

The previous prime is 484543. The next prime is 484577. The reversal of 484560 is 65484.

It is an interprime number because it is at equal distance from previous prime (484543) and next prime (484577).

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 318096 = 408^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 484560.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384 + ... + 1056.

2⁴⁸⁴⁵⁶⁰ is an apocalyptic number.

484560 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 484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814866).

484560 is an abundant number, since it is smaller than the sum of its proper divisors (1145172).

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

484560 is a wasteful number, since it uses less digits than its factorization.

484560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 484560 is about 696.1034405891. The cubic root of 484560 is about 78.5445134100.

The spelling of 484560 in words is "four hundred eighty-four thousand, five hundred sixty".