254002752 has 84 divisors (see below), whose sum is σ = 732548700. Its totient is φ = 84145152.

The previous prime is 254002751. The next prime is 254002753. The reversal of 254002752 is 257200452.

It is an interprime number because it is at equal distance from previous prime (254002751) and next prime (254002753).

It can be written as a sum of positive squares in 2 ways, for example, as 232989696 + 21013056 = 15264^2 + 4584^2 .

It is not an unprimeable number, because it can be changed into a prime (254002751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98374 + ... + 100922.

Almost surely, 2^254002752 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 254002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366274350).

254002752 is an abundant number, since it is smaller than the sum of its proper divisors (478545948).

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

254002752 is a wasteful number, since it uses less digits than its factorization.

254002752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 254002752 is about 15937.4637881942. The cubic root of 254002752 is about 633.3048403310.

The spelling of 254002752 in words is "two hundred fifty-four million, two thousand, seven hundred fifty-two".