254147264 has 56 divisors (see below), whose sum is σ = 577961760. Its totient is φ = 108619776.

The previous prime is 254147261. The next prime is 254147293. The reversal of 254147264 is 462741452.

It is a happy number.

254147264 is digitally balanced in base 3, 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 (56).

It is not an unprimeable number, because it can be changed into a prime (254147261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254414 + ... + 255410.

Almost surely, 2^254147264 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 254147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288980880).

254147264 is an abundant number, since it is smaller than the sum of its proper divisors (323814496).

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

254147264 is an equidigital number, since it uses as much as digits as its factorization.

254147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1575 counting only the distinct ones).

The product of its digits is 53760, while the sum is 35.

The square root of 254147264 is about 15941.9968636304. The cubic root of 254147264 is about 633.4249214421.

The spelling of 254147264 in words is "two hundred fifty-four million, one hundred forty-seven thousand, two hundred sixty-four".