488257 has 16 divisors (see below), whose sum is σ = 646272. Its totient is φ = 357120.

The previous prime is 488249. The next prime is 488261. The reversal of 488257 is 752884.

488257 is nontrivially palindromic in base 6.

It is a cyclic number.

It is not a de Polignac number, because 488257 - 2³ = 488249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488207) 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, 1123 + ... + 1495.

It is an arithmetic number, because the mean of its divisors is an integer number (40392).

2⁴⁸⁸²⁵⁷ is an apocalyptic number.

It is an amenable number.

488257 is a deficient number, since it is larger than the sum of its proper divisors (158015).

488257 is a wasteful number, since it uses less digits than its factorization.

488257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408.

The product of its digits is 17920, while the sum is 34.

The square root of 488257 is about 698.7538908657. The cubic root of 488257 is about 78.7437619985.

The spelling of 488257 in words is "four hundred eighty-eight thousand, two hundred fifty-seven".