254223000450 has 144 divisors (see below), whose sum is σ = 705576268800. Its totient is φ = 65556518400.

The previous prime is 254223000439. The next prime is 254223000457. The reversal of 254223000450 is 54000322452.

It is a happy number.

254223000450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (254223000457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20765431 + ... + 20777669.

It is an arithmetic number, because the mean of its divisors is an integer number (4899835200).

Almost surely, 2^254223000450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254223000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352788134400).

254223000450 is an abundant number, since it is smaller than the sum of its proper divisors (451353268350).

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

254223000450 is a wasteful number, since it uses less digits than its factorization.

254223000450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13777 (or 13769 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 254223000450 in words is "two hundred fifty-four billion, two hundred twenty-three million, four hundred fifty", and thus it is an aban number.