254144 has 42 divisors (see below), whose sum is σ = 580644. Its totient is φ = 109440.

The previous prime is 254141. The next prime is 254147. The reversal of 254144 is 441452.

It is an interprime number because it is at equal distance from previous prime (254141) and next prime (254147).

Its product of digits (640) is a multiple of the sum of its prime divisors (32).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (254141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13367 + ... + 13385.

2²⁵⁴¹⁴⁴ 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 254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290322).

254144 is an abundant number, since it is smaller than the sum of its proper divisors (326500).

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

254144 is a wasteful number, since it uses less digits than its factorization.

254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 32 counting only the distinct ones).

The product of its digits is 640, while the sum is 20.

The square root of 254144 is about 504.1269681340. The cubic root of 254144 is about 63.3422209750.

Adding to 254144 its reverse (441452), we get a palindrome (695596).

The spelling of 254144 in words is "two hundred fifty-four thousand, one hundred forty-four".