480807 has 12 divisors (see below), whose sum is σ = 711984. Its totient is φ = 312480.

The previous prime is 480803. The next prime is 480827. The reversal of 480807 is 708084.

It is a happy number.

It is not a de Polignac number, because 480807 - 2² = 480803 is a prime.

It is a super-3 number, since 3×480807³ = 333452210172353829, which contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480807.

It is not an unprimeable number, because it can be changed into a prime (480803) 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 11 ways as a sum of consecutive naturals, for example, 283 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (59332).

2⁴⁸⁰⁸⁰⁷ is an apocalyptic number.

480807 is a deficient number, since it is larger than the sum of its proper divisors (231177).

480807 is a wasteful number, since it uses less digits than its factorization.

480807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 480807 is about 693.4024805263. The cubic root of 480807 is about 78.3412073972.

The spelling of 480807 in words is "four hundred eighty thousand, eight hundred seven".