488305 has 8 divisors (see below), whose sum is σ = 595944. Its totient is φ = 384000.

The previous prime is 488303. The next prime is 488309. The reversal of 488305 is 503884.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 418609 = 264^2 + 647^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 488305 - 2¹ = 488303 is a prime.

It is a Duffinian number.

488305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (488303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 1105.

It is an arithmetic number, because the mean of its divisors is an integer number (74493).

2⁴⁸⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

488305 is a deficient number, since it is larger than the sum of its proper divisors (107639).

488305 is a wasteful number, since it uses less digits than its factorization.

488305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 488305 is about 698.7882368787. The cubic root of 488305 is about 78.7463423177.

It can be divided in two parts, 4 and 88305, that multiplied together give a triangular number (353220 = T₈₄₀).

The spelling of 488305 in words is "four hundred eighty-eight thousand, three hundred five".