257488 has 60 divisors (see below), whose sum is σ = 659680. Its totient is φ = 95040.

The previous prime is 257473. The next prime is 257489. The reversal of 257488 is 884752.

Its product of digits (17920) is a multiple of the sum of its prime factors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257489) by changing a digit.

257488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 13543 + ... + 13561.

2²⁵⁷⁴⁸⁸ is an apocalyptic number.

257488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329840).

257488 is an abundant number, since it is smaller than the sum of its proper divisors (402192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257488 is a wasteful number, since it uses less digits than its factorization.

257488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 39 counting only the distinct ones).

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

The square root of 257488 is about 507.4327541655. The cubic root of 257488 is about 63.6188280688.

Subtracting 257488 from its reverse (884752), we obtain a square (627264 = 792²).

It can be divided in two parts, 2574 and 88, that added together give a palindrome (2662).

The spelling of 257488 in words is "two hundred fifty-seven thousand, four hundred eighty-eight".