257848441 has 2 divisors, whose sum is σ = 257848442. Its totient is φ = 257848440.

The previous prime is 257848427. The next prime is 257848447. The reversal of 257848441 is 144848752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206066025 + 51782416 = 14355^2 + 7196^2 .

It is a cyclic number.

It is not a de Polignac number, because 257848441 - 2⁹ = 257847929 is a prime.

It is a super-2 number, since 2×257848441² = 132971637052260962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257848447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128924220 + 128924221.

It is an arithmetic number, because the mean of its divisors is an integer number (128924221).

Almost surely, 2^257848441 is an apocalyptic number.

It is an amenable number.

257848441 is a deficient number, since it is larger than the sum of its proper divisors (1).

257848441 is an equidigital number, since it uses as much as digits as its factorization.

257848441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 286720, while the sum is 43.

The square root of 257848441 is about 16057.6598855499. The cubic root of 257848441 is about 636.4849953894.

It can be divided in two parts, 25784 and 8441, that added together give a square (34225 = 185²).

The spelling of 257848441 in words is "two hundred fifty-seven million, eight hundred forty-eight thousand, four hundred forty-one".