488005 has 16 divisors (see below), whose sum is σ = 681984. Its totient is φ = 328320.

The previous prime is 488003. The next prime is 488009. The reversal of 488005 is 500884.

488005 = T₂₀₅ + T₂₀₆ + ... + T₂₂₅.

488005 = 43² + 44² + ... + 115².

It is not a de Polignac number, because 488005 - 2¹ = 488003 is a prime.

It is a Duffinian 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2460 + ... + 2650.

It is an arithmetic number, because the mean of its divisors is an integer number (42624).

2⁴⁸⁸⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

488005 is a deficient number, since it is larger than the sum of its proper divisors (193979).

488005 is a wasteful number, since it uses less digits than its factorization.

488005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 488005 is about 698.5735465933. The cubic root of 488005 is about 78.7302125475.

Adding to 488005 its reverse (500884), we get a palindrome (988889).

The spelling of 488005 in words is "four hundred eighty-eight thousand, five".