254338272 has 96 divisors (see below), whose sum is σ = 744629760. Its totient is φ = 84458880.

The previous prime is 254338243. The next prime is 254338277. The reversal of 254338272 is 272833452.

254338272 is a `hidden beast` number, since 2 + 54 + 338 + 272 = 666.

254338272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 (254338277) 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 15 ways as a sum of consecutive naturals, for example, 372043 + ... + 372725.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2^254338272 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 254338272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372314880).

254338272 is an abundant number, since it is smaller than the sum of its proper divisors (490291488).

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

254338272 is a wasteful number, since it uses less digits than its factorization.

254338272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 254338272 is about 15947.9864559762. The cubic root of 254338272 is about 633.5835682148.

The spelling of 254338272 in words is "two hundred fifty-four million, three hundred thirty-eight thousand, two hundred seventy-two".