256271600 has 180 divisors, whose sum is σ = 709079616. Its totient is φ = 88657920.

The previous prime is 256271599. The next prime is 256271621. The reversal of 256271600 is 6172652.

256271600 is digitally balanced in base 2, because in such base 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 35 ways as a sum of consecutive naturals, for example, 1149089 + ... + 1149311.

Almost surely, 2^256271600 is an apocalyptic number.

256271600 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 256271600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354539808).

256271600 is an abundant number, since it is smaller than the sum of its proper divisors (452808016).

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

256271600 is a wasteful number, since it uses less digits than its factorization.

256271600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 256271600 is about 16008.4852500166. The cubic root of 256271600 is about 635.1848925296.

The spelling of 256271600 in words is "two hundred fifty-six million, two hundred seventy-one thousand, six hundred".