257429749 has 2 divisors, whose sum is σ = 257429750. Its totient is φ = 257429748.

The previous prime is 257429743. The next prime is 257429761. The reversal of 257429749 is 947924752.

257429749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189943524 + 67486225 = 13782^2 + 8215^2 .

It is a cyclic number.

It is not a de Polignac number, because 257429749 - 2⁵ = 257429717 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257429743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128714874 + 128714875.

It is an arithmetic number, because the mean of its divisors is an integer number (128714875).

Almost surely, 2^257429749 is an apocalyptic number.

It is an amenable number.

257429749 is a deficient number, since it is larger than the sum of its proper divisors (1).

257429749 is an equidigital number, since it uses as much as digits as its factorization.

257429749 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1270080, while the sum is 49.

The square root of 257429749 is about 16044.6174463588. The cubic root of 257429749 is about 636.1403025317.

It can be divided in two parts, 2574 and 29749, that added together give a palindrome (32323).

The spelling of 257429749 in words is "two hundred fifty-seven million, four hundred twenty-nine thousand, seven hundred forty-nine".