251224452 has 72 divisors (see below), whose sum is σ = 650593944. Its totient is φ = 81709056.

The previous prime is 251224451. The next prime is 251224459. The reversal of 251224452 is 254422152.

251224452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53934336 + 197290116 = 7344^2 + 14046^2 .

It is a super-2 number, since 2×251224452² = 126227450565400608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (251224451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673338 + ... + 673710.

It is an arithmetic number, because the mean of its divisors is an integer number (9036027).

Almost surely, 2^251224452 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 251224452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325296972).

251224452 is an abundant number, since it is smaller than the sum of its proper divisors (399369492).

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

251224452 is a wasteful number, since it uses less digits than its factorization.

251224452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 784 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 251224452 is about 15850.0615771675. The cubic root of 251224452 is about 630.9873256429.

The spelling of 251224452 in words is "two hundred fifty-one million, two hundred twenty-four thousand, four hundred fifty-two".