257438433 has 8 divisors (see below), whose sum is σ = 392287168. Its totient is φ = 147107664.

The previous prime is 257438413. The next prime is 257438443. The reversal of 257438433 is 334834752.

257438433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257438433 - 2¹² = 257434337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257438391 and 257438400.

It is not an unprimeable number, because it can be changed into a prime (257438413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6129466 + ... + 6129507.

It is an arithmetic number, because the mean of its divisors is an integer number (49035896).

Almost surely, 2^257438433 is an apocalyptic number.

It is an amenable number.

257438433 is a deficient number, since it is larger than the sum of its proper divisors (134848735).

257438433 is a wasteful number, since it uses less digits than its factorization.

257438433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12258983.

The product of its digits is 241920, while the sum is 39.

The square root of 257438433 is about 16044.8880644272. Note that the first 3 decimals coincide. The cubic root of 257438433 is about 636.1474555256.

The spelling of 257438433 in words is "two hundred fifty-seven million, four hundred thirty-eight thousand, four hundred thirty-three".