256900 has 36 divisors (see below), whose sum is σ = 638848. Its totient is φ = 87840.

The previous prime is 256889. The next prime is 256901. The reversal of 256900 is 9652.

It is a super-2 number, since 2×256900² = 131995220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517 + ... + 883.

2²⁵⁶⁹⁰⁰ is an apocalyptic number.

256900 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 256900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319424).

256900 is an abundant number, since it is smaller than the sum of its proper divisors (381948).

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

256900 is a wasteful number, since it uses less digits than its factorization.

256900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 256900 is about 506.8530358990. The cubic root of 256900 is about 63.5703644744.

It can be divided in two parts, 256 and 900, that multiplied together give a square (230400 = 480²).

The spelling of 256900 in words is "two hundred fifty-six thousand, nine hundred".