254331648 has 108 divisors (see below), whose sum is σ = 738807888. Its totient is φ = 84142080.

The previous prime is 254331647. The next prime is 254331659. The reversal of 254331648 is 846133452.

254331648 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 3 + 1 + 648 = 666.

254331648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (254331641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 384438 + ... + 385098.

Almost surely, 2^254331648 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 254331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369403944).

254331648 is an abundant number, since it is smaller than the sum of its proper divisors (484476240).

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

254331648 is a wasteful number, since it uses less digits than its factorization.

254331648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 833 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 254331648 is about 15947.7787795041. The cubic root of 254331648 is about 633.5780678053.

It can be divided in two parts, 2543 and 31648, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 254331648 in words is "two hundred fifty-four million, three hundred thirty-one thousand, six hundred forty-eight".