254755872 has 144 divisors (see below), whose sum is σ = 836402112. Its totient is φ = 72046080.

The previous prime is 254755867. The next prime is 254755883. The reversal of 254755872 is 278557452.

254755872 is a `hidden beast` number, since 25 + 4 + 7 + 558 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215122 + ... + 216302.

It is an arithmetic number, because the mean of its divisors is an integer number (5808348).

Almost surely, 2^254755872 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 254755872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418201056).

254755872 is an abundant number, since it is smaller than the sum of its proper divisors (581646240).

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

254755872 is a wasteful number, since it uses less digits than its factorization.

254755872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1300 counting only the distinct ones).

The product of its digits is 784000, while the sum is 45.

The square root of 254755872 is about 15961.0736480977. The cubic root of 254755872 is about 633.9301405443.

The spelling of 254755872 in words is "two hundred fifty-four million, seven hundred fifty-five thousand, eight hundred seventy-two".