488007 has 24 divisors (see below), whose sum is σ = 784784. Its totient is φ = 290304.

The previous prime is 488003. The next prime is 488009. The reversal of 488007 is 700884.

It is a happy number.

It is not a de Polignac number, because 488007 - 2² = 488003 is a prime.

488007 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488003) 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 23 ways as a sum of consecutive naturals, for example, 4983 + ... + 5079.

2⁴⁸⁸⁰⁰⁷ is an apocalyptic number.

488007 is a deficient number, since it is larger than the sum of its proper divisors (296777).

488007 is a wasteful number, since it uses less digits than its factorization.

488007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 156 counting only the distinct ones).

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

The square root of 488007 is about 698.5749780804. The cubic root of 488007 is about 78.7303201012.

The spelling of 488007 in words is "four hundred eighty-eight thousand, seven".