254112840 has 192 divisors, whose sum is σ = 880588800. Its totient is φ = 63369216.

The previous prime is 254112839. The next prime is 254112841. The reversal of 254112840 is 48211452.

254112840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254112839) and next prime (254112841).

It is not an unprimeable number, because it can be changed into a prime (254112841) 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 47 ways as a sum of consecutive naturals, for example, 663289 + ... + 663671.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^254112840 is an apocalyptic number.

254112840 is a gapful number since it is divisible by the number (20) 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 254112840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

254112840 is an abundant number, since it is smaller than the sum of its proper divisors (626475960).

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

254112840 is a wasteful number, since it uses less digits than its factorization.

254112840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 254112840 is about 15940.9171630744. The cubic root of 254112840 is about 633.3963212207.

The spelling of 254112840 in words is "two hundred fifty-four million, one hundred twelve thousand, eight hundred forty".