257948073 has 12 divisors (see below), whose sum is σ = 374044788. Its totient is φ = 171294720.

The previous prime is 257948071. The next prime is 257948081. The reversal of 257948073 is 370849752.

257948073 is a `hidden beast` number, since 2 + 579 + 4 + 8 + 0 + 73 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 202549824 + 55398249 = 14232^2 + 7443^2 .

It is not a de Polignac number, because 257948073 - 2¹ = 257948071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257948071) 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, 53448 + ... + 58073.

It is an arithmetic number, because the mean of its divisors is an integer number (31170399).

Almost surely, 2^257948073 is an apocalyptic number.

It is an amenable number.

257948073 is a deficient number, since it is larger than the sum of its proper divisors (116096715).

257948073 is a wasteful number, since it uses less digits than its factorization.

257948073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111784 (or 111781 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 257948073 is about 16060.7619059620. The cubic root of 257948073 is about 636.5669635757.

The spelling of 257948073 in words is "two hundred fifty-seven million, nine hundred forty-eight thousand, seventy-three".