254674944 has 144 divisors (see below), whose sum is σ = 755724060. Its totient is φ = 82575360.

The previous prime is 254674933. The next prime is 254674961. The reversal of 254674944 is 449476452.

254674944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 215737344 + 38937600 = 14688^2 + 6240^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 254674944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755544 + ... + 755880.

Almost surely, 2^254674944 is an apocalyptic number.

254674944 is a gapful number since it is divisible by the number (24) 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 254674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377862030).

254674944 is an abundant number, since it is smaller than the sum of its proper divisors (501049116).

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

254674944 is a wasteful number, since it uses less digits than its factorization.

254674944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 383 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 254674944 is about 15958.5382789277. The cubic root of 254674944 is about 633.8630068196.

The spelling of 254674944 in words is "two hundred fifty-four million, six hundred seventy-four thousand, nine hundred forty-four".