256085172 has 192 divisors, whose sum is σ = 802816000. Its totient is φ = 70489440.

The previous prime is 256085171. The next prime is 256085183. The reversal of 256085172 is 271580652.

It is a happy number.

256085172 is a `hidden beast` number, since 2 + 560 + 85 + 17 + 2 = 666.

256085172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256085171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1148253 + ... + 1148475.

Almost surely, 2^256085172 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 256085172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401408000).

256085172 is an abundant number, since it is smaller than the sum of its proper divisors (546730828).

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

256085172 is a wasteful number, since it uses less digits than its factorization.

256085172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 256085172 is about 16002.6614036541. The cubic root of 256085172 is about 635.0308307514.

The spelling of 256085172 in words is "two hundred fifty-six million, eighty-five thousand, one hundred seventy-two".