257089760 has 72 divisors (see below), whose sum is σ = 641168136. Its totient is φ = 97401600.

The previous prime is 257089757. The next prime is 257089769. The reversal of 257089760 is 67980752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257089769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55535 + ... + 59985.

It is an arithmetic number, because the mean of its divisors is an integer number (8905113).

Almost surely, 2^257089760 is an apocalyptic number.

257089760 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 257089760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320584068).

257089760 is an abundant number, since it is smaller than the sum of its proper divisors (384078376).

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

257089760 is a wasteful number, since it uses less digits than its factorization.

257089760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 257089760 is about 16034.0188349646. The cubic root of 257089760 is about 635.8601277261.

The spelling of 257089760 in words is "two hundred fifty-seven million, eighty-nine thousand, seven hundred sixty".