254374848 has 336 divisors, whose sum is σ = 940832256. Its totient is φ = 63866880.

The previous prime is 254374847. The next prime is 254374853. The reversal of 254374848 is 848473452.

It is a happy number.

254374848 is digitally balanced in base 2, 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 (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254374847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205463 + ... + 1205673.

It is an arithmetic number, because the mean of its divisors is an integer number (2800096).

Almost surely, 2^254374848 is an apocalyptic number.

254374848 is a gapful number since it is divisible by the number (28) 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 254374848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470416128).

254374848 is an abundant number, since it is smaller than the sum of its proper divisors (686457408).

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

254374848 is a wasteful number, since it uses less digits than its factorization.

254374848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 254374848 is about 15949.1331425880. The cubic root of 254374848 is about 633.6139383221.

The spelling of 254374848 in words is "two hundred fifty-four million, three hundred seventy-four thousand, eight hundred forty-eight".