257048576 has 60 divisors (see below), whose sum is σ = 532791420. Its totient is φ = 123863040.

The previous prime is 257048543. The next prime is 257048581. The reversal of 257048576 is 675840752.

It can be written as a sum of positive squares in 2 ways, for example, as 118374400 + 138674176 = 10880^2 + 11776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 474866 + ... + 475406.

It is an arithmetic number, because the mean of its divisors is an integer number (8879857).

Almost surely, 2^257048576 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 257048576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266395710).

257048576 is an abundant number, since it is smaller than the sum of its proper divisors (275742844).

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

257048576 is an frugal number, since it uses more digits than its factorization.

257048576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The square root of 257048576 is about 16032.7345141121. The cubic root of 257048576 is about 635.8261724492.

The spelling of 257048576 in words is "two hundred fifty-seven million, forty-eight thousand, five hundred seventy-six".