254727252 has 144 divisors (see below), whose sum is σ = 743822352. Its totient is φ = 72806400.

The previous prime is 254727241. The next prime is 254727257. The reversal of 254727252 is 252727452.

It can be written as a sum of positive squares in 8 ways, for example, as 197136 + 254530116 = 444^2 + 15954^2 .

It is a super-2 number, since 2×254727252² = 129771945822943008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254727257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803398 + ... + 803714.

It is an arithmetic number, because the mean of its divisors is an integer number (5165433).

Almost surely, 2^254727252 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 254727252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371911176).

254727252 is an abundant number, since it is smaller than the sum of its proper divisors (489095100).

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

254727252 is a wasteful number, since it uses less digits than its factorization.

254727252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 453 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 254727252 is about 15960.1770666869. The cubic root of 254727252 is about 633.9064004830.

The spelling of 254727252 in words is "two hundred fifty-four million, seven hundred twenty-seven thousand, two hundred fifty-two".