254289168 has 120 divisors (see below), whose sum is σ = 841464000. Its totient is φ = 70140672.

The previous prime is 254289163. The next prime is 254289193. The reversal of 254289168 is 861982452.

It is not an unprimeable number, because it can be changed into a prime (254289163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24883 + ... + 33581.

It is an arithmetic number, because the mean of its divisors is an integer number (7012200).

Almost surely, 2^254289168 is an apocalyptic number.

254289168 is a gapful number since it is divisible by the number (28) 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 254289168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420732000).

254289168 is an abundant number, since it is smaller than the sum of its proper divisors (587174832).

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

254289168 is a wasteful number, since it uses less digits than its factorization.

254289168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8749 (or 8740 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 254289168 is about 15946.4468769692. The cubic root of 254289168 is about 633.5427911692.

It can be divided in two parts, 25428 and 9168, that added together give a square (34596 = 186²).

The spelling of 254289168 in words is "two hundred fifty-four million, two hundred eighty-nine thousand, one hundred sixty-eight".