484008 has 64 divisors (see below), whose sum is σ = 1436160. Its totient is φ = 133056.

The previous prime is 483991. The next prime is 484019. The reversal of 484008 is 800484.

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

It is an Ulam number.

It is an unprimeable number.

484008 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 15 ways as a sum of consecutive naturals, for example, 7191 + ... + 7257.

It is an arithmetic number, because the mean of its divisors is an integer number (22440).

2⁴⁸⁴⁰⁰⁸ is an apocalyptic number.

484008 is the 402-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718080).

484008 is an abundant number, since it is smaller than the sum of its proper divisors (952152).

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

484008 is a wasteful number, since it uses less digits than its factorization.

484008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 484008 is about 695.7068348090. The cubic root of 484008 is about 78.5146766884.

The spelling of 484008 in words is "four hundred eighty-four thousand, eight".