257473941 has 16 divisors (see below), whose sum is σ = 357826560. Its totient is φ = 164493360.

The previous prime is 257473913. The next prime is 257473949. The reversal of 257473941 is 149374752.

It is not a de Polignac number, because 257473941 - 2²¹ = 255376789 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 257473893 and 257473902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257473949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3861 + ... + 23018.

It is an arithmetic number, because the mean of its divisors is an integer number (22364160).

Almost surely, 2^257473941 is an apocalyptic number.

It is an amenable number.

257473941 is a deficient number, since it is larger than the sum of its proper divisors (100352619).

257473941 is a wasteful number, since it uses less digits than its factorization.

257473941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27016.

The product of its digits is 211680, while the sum is 42.

The square root of 257473941 is about 16045.9945469267. The cubic root of 257473941 is about 636.1767017227.

The spelling of 257473941 in words is "two hundred fifty-seven million, four hundred seventy-three thousand, nine hundred forty-one".