254550240 has 144 divisors (see below), whose sum is σ = 992785248. Its totient is φ = 58180608.

The previous prime is 254550227. The next prime is 254550287. The reversal of 254550240 is 42055452.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2547 + ... + 22706.

It is an arithmetic number, because the mean of its divisors is an integer number (6894342).

Almost surely, 2^254550240 is an apocalyptic number.

254550240 is a gapful number since it is divisible by the number (20) 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 254550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496392624).

254550240 is an abundant number, since it is smaller than the sum of its proper divisors (738235008).

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

254550240 is a wasteful number, since it uses less digits than its factorization.

254550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25281 (or 25270 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 254550240 is about 15954.6306757631. The cubic root of 254550240 is about 633.7595309188.

The spelling of 254550240 in words is "two hundred fifty-four million, five hundred fifty thousand, two hundred forty".