254656 has 28 divisors (see below), whose sum is σ = 530352. Its totient is φ = 121088.

The previous prime is 254647. The next prime is 254659. The reversal of 254656 is 656452.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (254659) by changing a digit.

254656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1386 + ... + 1558.

2²⁵⁴⁶⁵⁶ 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 254656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265176).

254656 is an abundant number, since it is smaller than the sum of its proper divisors (275696).

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

254656 is a wasteful number, since it uses less digits than its factorization.

254656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 254656 is about 504.6345212131. The cubic root of 254656 is about 63.3847289793.

Subtracting from 254656 its product of digits (7200), we obtain a triangular number (247456 = T₇₀₃).

The spelling of 254656 in words is "two hundred fifty-four thousand, six hundred fifty-six".