257480 has 32 divisors (see below), whose sum is σ = 597240. Its totient is φ = 99840.

The previous prime is 257473. The next prime is 257489. The reversal of 257480 is 84752.

257480 is nontrivially palindromic in base 14.

257480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 111556 + 145924 = 334^2 + 382^2 .

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

257480 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 7 ways as a sum of consecutive naturals, for example, 1562 + ... + 1718.

2²⁵⁷⁴⁸⁰ is an apocalyptic number.

257480 is a gapful number since it is divisible by the number (20) 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 257480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298620).

257480 is an abundant number, since it is smaller than the sum of its proper divisors (339760).

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

257480 is a wasteful number, since it uses less digits than its factorization.

257480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 257480 is about 507.4248712864. The cubic root of 257480 is about 63.6181691955.

It can be divided in two parts, 257 and 480, that added together give a palindrome (737).

The spelling of 257480 in words is "two hundred fifty-seven thousand, four hundred eighty".