257650848 has 384 divisors, whose sum is σ = 965260800. Its totient is φ = 65028096.

The previous prime is 257650829. The next prime is 257650859. The reversal of 257650848 is 848056752.

257650848 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2280040 + ... + 2280152.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^257650848 is an apocalyptic number.

257650848 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 257650848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482630400).

257650848 is an abundant number, since it is smaller than the sum of its proper divisors (707609952).

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

257650848 is a wasteful number, since it uses less digits than its factorization.

257650848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 257650848 is about 16051.5060975598. The cubic root of 257650848 is about 636.3223712809.

The spelling of 257650848 in words is "two hundred fifty-seven million, six hundred fifty thousand, eight hundred forty-eight".