257286240 has 96 divisors (see below), whose sum is σ = 900516960. Its totient is φ = 68608512.

The previous prime is 257286223. The next prime is 257286247. The reversal of 257286240 is 42682752.

257286240 is a `hidden beast` number, since 2 + 5 + 7 + 28 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 257286195 and 257286204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257286247) 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 15 ways as a sum of consecutive naturals, for example, 25459 + ... + 34098.

It is an arithmetic number, because the mean of its divisors is an integer number (9380385).

Almost surely, 2^257286240 is an apocalyptic number.

257286240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257286240 is an abundant number, since it is smaller than the sum of its proper divisors (643230720).

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

257286240 is a wasteful number, since it uses less digits than its factorization.

257286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59581 (or 59567 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 257286240 is about 16040.1446377519. The cubic root of 257286240 is about 636.0220711458.

The spelling of 257286240 in words is "two hundred fifty-seven million, two hundred eighty-six thousand, two hundred forty".