254752 has 24 divisors (see below), whose sum is σ = 529200. Its totient is φ = 120384.

The previous prime is 254747. The next prime is 254753. The reversal of 254752 is 257452.

It is not an unprimeable number, because it can be changed into a prime (254753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 399 + ... + 817.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2²⁵⁴⁷⁵² 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 254752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264600).

254752 is an abundant number, since it is smaller than the sum of its proper divisors (274448).

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

254752 is a wasteful number, since it uses less digits than its factorization.

254752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its digits is 2800, while the sum is 25.

The square root of 254752 is about 504.7296305944. The cubic root of 254752 is about 63.3926928855.

The spelling of 254752 in words is "two hundred fifty-four thousand, seven hundred fifty-two".