257943168 has 192 divisors, whose sum is σ = 878342400. Its totient is φ = 71092224.

The previous prime is 257943151. The next prime is 257943187. The reversal of 257943168 is 861349752.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233305 + ... + 234407.

It is an arithmetic number, because the mean of its divisors is an integer number (4574700).

Almost surely, 2^257943168 is an apocalyptic number.

257943168 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 257943168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439171200).

257943168 is an abundant number, since it is smaller than the sum of its proper divisors (620399232).

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

257943168 is a wasteful number, since it uses less digits than its factorization.

257943168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1144 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 257943168 is about 16060.6092038876. The cubic root of 257943168 is about 636.5629286800.

The spelling of 257943168 in words is "two hundred fifty-seven million, nine hundred forty-three thousand, one hundred sixty-eight".