4400505252 has 144 divisors (see below), whose sum is σ = 13505309440. Its totient is φ = 1230863040.

The previous prime is 4400505251. The next prime is 4400505257. The reversal of 4400505252 is 2525050044.

4400505252 is a `hidden beast` number, since 4 + 400 + 5 + 0 + 5 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4400505251) 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, 156933 + ... + 182835.

Almost surely, 2^4400505252 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 4400505252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752654720).

4400505252 is an abundant number, since it is smaller than the sum of its proper divisors (9104804188).

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

4400505252 is a wasteful number, since it uses less digits than its factorization.

4400505252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25951 (or 25932 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 4400505252 is about 66336.3041780291. The cubic root of 4400505252 is about 1638.7052605750.

Adding to 4400505252 its reverse (2525050044), we get a palindrome (6925555296).

The spelling of 4400505252 in words is "four billion, four hundred million, five hundred five thousand, two hundred fifty-two".