480024 has 48 divisors (see below), whose sum is σ = 1333800. Its totient is φ = 155904.

The previous prime is 480023. The next prime is 480043. The reversal of 480024 is 420084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 479979 and 480006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4192 + ... + 4304.

2⁴⁸⁰⁰²⁴ 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 480024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666900).

480024 is an abundant number, since it is smaller than the sum of its proper divisors (853776).

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

480024 is a wasteful number, since it uses less digits than its factorization.

480024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 480024 is about 692.8376433191. The cubic root of 480024 is about 78.2986577575.

The spelling of 480024 in words is "four hundred eighty thousand, twenty-four".