254541168 has 120 divisors (see below), whose sum is σ = 817516128. Its totient is φ = 72423936.

The previous prime is 254541151. The next prime is 254541169. The reversal of 254541168 is 861145452.

It is a happy number.

254541168 is a `hidden beast` number, since 2 + 54 + 541 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254541169) 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, 375646 + ... + 376322.

Almost surely, 2^254541168 is an apocalyptic number.

254541168 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 254541168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408758064).

254541168 is an abundant number, since it is smaller than the sum of its proper divisors (562974960).

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

254541168 is a wasteful number, since it uses less digits than its factorization.

254541168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1062 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 254541168 is about 15954.3463670562. The cubic root of 254541168 is about 633.7520019077.

The spelling of 254541168 in words is "two hundred fifty-four million, five hundred forty-one thousand, one hundred sixty-eight".