257044329 has 12 divisors (see below), whose sum is σ = 378292356. Its totient is φ = 168129312.

The previous prime is 257044327. The next prime is 257044351. The reversal of 257044329 is 923440752.

It can be written as a sum of positive squares in 2 ways, for example, as 235561104 + 21483225 = 15348^2 + 4635^2 .

It is not a de Polignac number, because 257044329 - 2¹ = 257044327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257044293 and 257044302.

It is not an unprimeable number, because it can be changed into a prime (257044321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268962 + ... + 269915.

It is an arithmetic number, because the mean of its divisors is an integer number (31524363).

Almost surely, 2^257044329 is an apocalyptic number.

It is an amenable number.

257044329 is a deficient number, since it is larger than the sum of its proper divisors (121248027).

257044329 is a wasteful number, since it uses less digits than its factorization.

257044329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538936 (or 538933 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 257044329 is about 16032.6020657908. The cubic root of 257044329 is about 635.8226706875.

The spelling of 257044329 in words is "two hundred fifty-seven million, forty-four thousand, three hundred twenty-nine".