480224 has 24 divisors (see below), whose sum is σ = 970200. Its totient is φ = 233856.

The previous prime is 480209. The next prime is 480287. The reversal of 480224 is 422084.

480224 = T₁₅₇ + T₁₅₈ + ... + T₁₈₈.

It is a junction number, because it is equal to n+sod(n) for n = 480196 and 480205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1202 + ... + 1550.

It is an arithmetic number, because the mean of its divisors is an integer number (40425).

2⁴⁸⁰²²⁴ 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 480224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485100).

480224 is an abundant number, since it is smaller than the sum of its proper divisors (489976).

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

480224 is a wasteful number, since it uses less digits than its factorization.

480224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 480224 is about 692.9819622472. The cubic root of 480224 is about 78.3095305175.

The spelling of 480224 in words is "four hundred eighty thousand, two hundred twenty-four".