257924441 has 2 divisors, whose sum is σ = 257924442. Its totient is φ = 257924440.

The previous prime is 257924423. The next prime is 257924479. The reversal of 257924441 is 144429752.

It is an a-pointer prime, because the next prime (257924479) can be obtained adding 257924441 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257923600 + 841 = 16060^2 + 29^2 .

It is a cyclic number.

It is not a de Polignac number, because 257924441 - 2⁶ = 257924377 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 257924395 and 257924404.

It is not a weakly prime, because it can be changed into another prime (257924141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128962220 + 128962221.

It is an arithmetic number, because the mean of its divisors is an integer number (128962221).

Almost surely, 2^257924441 is an apocalyptic number.

It is an amenable number.

257924441 is a deficient number, since it is larger than the sum of its proper divisors (1).

257924441 is an equidigital number, since it uses as much as digits as its factorization.

257924441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 38.

The square root of 257924441 is about 16060.0261830422. The cubic root of 257924441 is about 636.5475232161.

The spelling of 257924441 in words is "two hundred fifty-seven million, nine hundred twenty-four thousand, four hundred forty-one".