488601 has 9 divisors (see below), whose sum is σ = 708799. Its totient is φ = 324336.

The previous prime is 488573. The next prime is 488603. The reversal of 488601 is 106884.

The square root of 488601 is 699.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 99225 + 389376 = 315^2 + 624^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 488601 - 2⁷ = 488473 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (488603) 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 8 ways as a sum of consecutive naturals, for example, 1981 + ... + 2213.

2⁴⁸⁸⁶⁰¹ is an apocalyptic number.

488601 is the 699-th square number.

488601 is the 350-th centered octagonal number.

It is an amenable number.

488601 is a deficient number, since it is larger than the sum of its proper divisors (220198).

488601 is an equidigital number, since it uses as much as digits as its factorization.

488601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The cubic root of 488601 is about 78.7622505507.

It can be divided in two parts, 488 and 601, that added together give a square (1089 = 33²).

The spelling of 488601 in words is "four hundred eighty-eight thousand, six hundred one".