480204 has 18 divisors (see below), whose sum is σ = 1213940. Its totient is φ = 160056.

The previous prime is 480203. The next prime is 480209. The reversal of 480204 is 402084.

480204 = T₃₅ + T₃₆ + ... + T₁₄₂.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (480203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6634 + ... + 6705.

2⁴⁸⁰²⁰⁴ is an apocalyptic number.

It is an amenable number.

480204 is an abundant number, since it is smaller than the sum of its proper divisors (733736).

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

480204 is a wasteful number, since it uses less digits than its factorization.

480204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13349 (or 13344 counting only the distinct ones).

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

The square root of 480204 is about 692.9675317069. The cubic root of 480204 is about 78.3084433773.

Adding to 480204 its reverse (402084), we get a palindrome (882288).

It can be divided in two parts, 4 and 80204, that added together give a palindrome (80208).

The spelling of 480204 in words is "four hundred eighty thousand, two hundred four".