256173120 has 336 divisors, whose sum is σ = 1025152128. Its totient is φ = 57507840.

The previous prime is 256173107. The next prime is 256173131. The reversal of 256173120 is 21371652.

It is a happy number.

256173120 is a `hidden beast` number, since 25 + 617 + 3 + 1 + 20 = 666.

256173120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1955455 + ... + 1955585.

It is an arithmetic number, because the mean of its divisors is an integer number (3051048).

Almost surely, 2^256173120 is an apocalyptic number.

256173120 is a gapful number since it is divisible by the number (20) 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 256173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512576064).

256173120 is an abundant number, since it is smaller than the sum of its proper divisors (768979008).

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

256173120 is a wasteful number, since it uses less digits than its factorization.

256173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 256173120 is about 16005.4090856810. The cubic root of 256173120 is about 635.1035191969.

The spelling of 256173120 in words is "two hundred fifty-six million, one hundred seventy-three thousand, one hundred twenty".