257933445 has 32 divisors (see below), whose sum is σ = 514529280. Its totient is φ = 107192640.

The previous prime is 257933441. The next prime is 257933449. The reversal of 257933445 is 544339752.

It is an interprime number because it is at equal distance from previous prime (257933441) and next prime (257933449).

It is not a de Polignac number, because 257933445 - 2² = 257933441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257933397 and 257933406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257933441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110505 + ... + 112814.

It is an arithmetic number, because the mean of its divisors is an integer number (16079040).

Almost surely, 2^257933445 is an apocalyptic number.

It is an amenable number.

257933445 is a deficient number, since it is larger than the sum of its proper divisors (256595835).

257933445 is a wasteful number, since it uses less digits than its factorization.

257933445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223345.

The product of its digits is 453600, while the sum is 42.

The square root of 257933445 is about 16060.3065039245. The cubic root of 257933445 is about 636.5549303042.

The spelling of 257933445 in words is "two hundred fifty-seven million, nine hundred thirty-three thousand, four hundred forty-five".