254971296 has 72 divisors (see below), whose sum is σ = 730888704. Its totient is φ = 84309120.

The previous prime is 254971291. The next prime is 254971303. The reversal of 254971296 is 692179452.

254971296 is a `hidden beast` number, since 2 + 549 + 7 + 12 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (254971291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33091 + ... + 40061.

It is an arithmetic number, because the mean of its divisors is an integer number (10151232).

Almost surely, 2^254971296 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 254971296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365444352).

254971296 is an abundant number, since it is smaller than the sum of its proper divisors (475917408).

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

254971296 is a wasteful number, since it uses less digits than its factorization.

254971296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114 (or 7103 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 254971296 is about 15967.8206402752. The cubic root of 254971296 is about 634.1087759969.

The spelling of 254971296 in words is "two hundred fifty-four million, nine hundred seventy-one thousand, two hundred ninety-six".