257048144 has 20 divisors (see below), whose sum is σ = 506197140. Its totient is φ = 126416640.

The previous prime is 257048119. The next prime is 257048153. The reversal of 257048144 is 441840752.

257048144 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 134281744 + 122766400 = 11588^2 + 11080^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130709 + ... + 132660.

It is an arithmetic number, because the mean of its divisors is an integer number (25309857).

Almost surely, 2^257048144 is an apocalyptic number.

It is an amenable number.

257048144 is a deficient number, since it is larger than the sum of its proper divisors (249148996).

257048144 is a wasteful number, since it uses less digits than its factorization.

257048144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263438 (or 263432 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 257048144 is about 16032.7210416698. The cubic root of 257048144 is about 635.8258162558.

Adding to 257048144 its reverse (441840752), we get a palindrome (698888896).

The spelling of 257048144 in words is "two hundred fifty-seven million, forty-eight thousand, one hundred forty-four".