257040729 has 16 divisors (see below), whose sum is σ = 415419840. Its totient is φ = 155782080.

The previous prime is 257040701. The next prime is 257040781. The reversal of 257040729 is 927040752.

It is not a de Polignac number, because 257040729 - 2⁸ = 257040473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257040693 and 257040702.

It is not an unprimeable number, because it can be changed into a prime (257040829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432432 + ... + 433025.

It is an arithmetic number, because the mean of its divisors is an integer number (25963740).

Almost surely, 2^257040729 is an apocalyptic number.

It is an amenable number.

257040729 is a deficient number, since it is larger than the sum of its proper divisors (158379111).

257040729 is a wasteful number, since it uses less digits than its factorization.

257040729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865477 (or 865471 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 257040729 is about 16032.4897941648. The cubic root of 257040729 is about 635.8197023638.

The spelling of 257040729 in words is "two hundred fifty-seven million, forty thousand, seven hundred twenty-nine".