257051680 has 72 divisors (see below), whose sum is σ = 635045292. Its totient is φ = 98317824.

The previous prime is 257051651. The next prime is 257051681. The reversal of 257051680 is 86150752.

It can be written as a sum of positive squares in 2 ways, for example, as 253319056 + 3732624 = 15916^2 + 1932^2 .

It is not an unprimeable number, because it can be changed into a prime (257051681) 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 11 ways as a sum of consecutive naturals, for example, 83122 + ... + 86158.

Almost surely, 2^257051680 is an apocalyptic number.

257051680 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 257051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317522646).

257051680 is an abundant number, since it is smaller than the sum of its proper divisors (377993612).

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

257051680 is a wasteful number, since it uses less digits than its factorization.

257051680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 257051680 is about 16032.8313157720. The cubic root of 257051680 is about 635.8287317534.

The spelling of 257051680 in words is "two hundred fifty-seven million, fifty-one thousand, six hundred eighty".