657248256 has 260 divisors, whose sum is σ = 2251804192. Its totient is φ = 187121664.

The previous prime is 657248243. The next prime is 657248311. The reversal of 657248256 is 652842756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322291 + ... + 2322573.

Almost surely, 2^657248256 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 657248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125902096).

657248256 is an abundant number, since it is smaller than the sum of its proper divisors (1594555936).

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

657248256 is an equidigital number, since it uses as much as digits as its factorization.

657248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 295 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 657248256 is about 25636.8534730766. The cubic root of 657248256 is about 869.4470683952.

The spelling of 657248256 in words is "six hundred fifty-seven million, two hundred forty-eight thousand, two hundred fifty-six".