257965448 has 32 divisors (see below), whose sum is σ = 525020160. Its totient is φ = 118117440.

The previous prime is 257965441. The next prime is 257965459. The reversal of 257965448 is 844569752.

It is a junction number, because it is equal to n+sod(n) for n = 257965396 and 257965405.

It is not an unprimeable number, because it can be changed into a prime (257965441) 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 7 ways as a sum of consecutive naturals, for example, 3443 + ... + 22973.

It is an arithmetic number, because the mean of its divisors is an integer number (16406880).

Almost surely, 2^257965448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257965448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262510080).

257965448 is an abundant number, since it is smaller than the sum of its proper divisors (267054712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257965448 is a wasteful number, since it uses less digits than its factorization.

257965448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19677 (or 19673 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 50.

The square root of 257965448 is about 16061.3028114160. The cubic root of 257965448 is about 636.5812559906.

The spelling of 257965448 in words is "two hundred fifty-seven million, nine hundred sixty-five thousand, four hundred forty-eight".