254412144 has 80 divisors (see below), whose sum is σ = 834589440. Its totient is φ = 72688320.

The previous prime is 254412121. The next prime is 254412149. The reversal of 254412144 is 441214452.

254412144 is a `hidden beast` number, since 2 + 5 + 441 + 214 + 4 = 666.

254412144 is digitally balanced in base 3, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254412149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39042 + ... + 45089.

It is an arithmetic number, because the mean of its divisors is an integer number (10432368).

Almost surely, 2^254412144 is an apocalyptic number.

254412144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

254412144 is an abundant number, since it is smaller than the sum of its proper divisors (580177296).

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

254412144 is a wasteful number, since it uses less digits than its factorization.

254412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84155 (or 84143 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 254412144 is about 15950.3023168842. The cubic root of 254412144 is about 633.6449032685.

Adding to 254412144 its reverse (441214452), we get a palindrome (695626596).

The spelling of 254412144 in words is "two hundred fifty-four million, four hundred twelve thousand, one hundred forty-four".