256171104 has 144 divisors (see below), whose sum is σ = 859622400. Its totient is φ = 70813440.

The previous prime is 256171087. The next prime is 256171109. The reversal of 256171104 is 401171652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256171109) 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 23 ways as a sum of consecutive naturals, for example, 60447 + ... + 64545.

It is an arithmetic number, because the mean of its divisors is an integer number (5969600).

Almost surely, 2^256171104 is an apocalyptic number.

256171104 is a gapful number since it is divisible by the number (24) 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 256171104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429811200).

256171104 is an abundant number, since it is smaller than the sum of its proper divisors (603451296).

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

256171104 is a wasteful number, since it uses less digits than its factorization.

256171104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 256171104 is about 16005.3461068482. The cubic root of 256171104 is about 635.1018531724.

The spelling of 256171104 in words is "two hundred fifty-six million, one hundred seventy-one thousand, one hundred four".