484224 has 64 divisors (see below), whose sum is σ = 1399440. Its totient is φ = 147456.

The previous prime is 484207. The next prime is 484229. The reversal of 484224 is 422484.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 484194 and 484203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4944 + ... + 5040.

2⁴⁸⁴²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699720).

484224 is an abundant number, since it is smaller than the sum of its proper divisors (915216).

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

484224 is a wasteful number, since it uses less digits than its factorization.

484224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 484224 is about 695.8620552954. The cubic root of 484224 is about 78.5263546276.

The spelling of 484224 in words is "four hundred eighty-four thousand, two hundred twenty-four".