257726240 has 24 divisors (see below), whose sum is σ = 608878620. Its totient is φ = 103090432.

The previous prime is 257726213. The next prime is 257726243. The reversal of 257726240 is 42627752.

257726240 is digitally balanced in base 2, 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 2 ways, for example, as 257666704 + 59536 = 16052^2 + 244^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 257726240.

It is not an unprimeable number, because it can be changed into a prime (257726243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 805235 + ... + 805554.

Almost surely, 2^257726240 is an apocalyptic number.

257726240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257726240 is an abundant number, since it is smaller than the sum of its proper divisors (351152380).

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

257726240 is a wasteful number, since it uses less digits than its factorization.

257726240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610804 (or 1610796 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 257726240 is about 16053.8543658525. The cubic root of 257726240 is about 636.3844306378.

The spelling of 257726240 in words is "two hundred fifty-seven million, seven hundred twenty-six thousand, two hundred forty".