257288448 has 72 divisors (see below), whose sum is σ = 701549856. Its totient is φ = 83660800.

The previous prime is 257288441. The next prime is 257288453. The reversal of 257288448 is 844882752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 257288397 and 257288406.

It is not an unprimeable number, because it can be changed into a prime (257288441) 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, 27403 + ... + 35573.

It is an arithmetic number, because the mean of its divisors is an integer number (9743748).

Almost surely, 2^257288448 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 257288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350774928).

257288448 is an abundant number, since it is smaller than the sum of its proper divisors (444261408).

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

257288448 is an equidigital number, since it uses as much as digits as its factorization.

257288448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8217 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 48.

The square root of 257288448 is about 16040.2134649137. The cubic root of 257288448 is about 636.0238905626.

The spelling of 257288448 in words is "two hundred fifty-seven million, two hundred eighty-eight thousand, four hundred forty-eight".