480008 has 16 divisors (see below), whose sum is σ = 931500. Its totient is φ = 231616.

The previous prime is 479971. The next prime is 480013. The reversal of 480008 is 800084.

480008 = T₃₉₇ + T₃₉₈ + ... + T₄₀₂.

480008 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 465124 + 14884 = 682^2 + 122^2 .

It is an unprimeable number.

480008 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 3 ways as a sum of consecutive naturals, for example, 803 + ... + 1266.

2⁴⁸⁰⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

480008 is a deficient number, since it is larger than the sum of its proper divisors (451492).

480008 is a wasteful number, since it uses less digits than its factorization.

480008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 480008 is about 692.8260965062. The cubic root of 480008 is about 78.2977878063.

The spelling of 480008 in words is "four hundred eighty thousand, eight".