257583648 has 96 divisors (see below), whose sum is σ = 791683200. Its totient is φ = 71792640.

The previous prime is 257583637. The next prime is 257583649. The reversal of 257583648 is 846385752.

257583648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 257583597 and 257583606.

It is not an unprimeable number, because it can be changed into a prime (257583649) 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 15 ways as a sum of consecutive naturals, for example, 22878 + ... + 32226.

It is an arithmetic number, because the mean of its divisors is an integer number (8246700).

Almost surely, 2^257583648 is an apocalyptic number.

257583648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257583648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395841600).

257583648 is an abundant number, since it is smaller than the sum of its proper divisors (534099552).

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

257583648 is a wasteful number, since it uses less digits than its factorization.

257583648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9410 (or 9402 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 257583648 is about 16049.4126995351. The cubic root of 257583648 is about 636.2670450105.

The spelling of 257583648 in words is "two hundred fifty-seven million, five hundred eighty-three thousand, six hundred forty-eight".