252345444 has 96 divisors (see below), whose sum is σ = 655097856. Its totient is φ = 75116160.

The previous prime is 252345437. The next prime is 252345449. The reversal of 252345444 is 444543252.

252345444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252345449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931029 + ... + 931299.

It is an arithmetic number, because the mean of its divisors is an integer number (6823936).

Almost surely, 2^252345444 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 252345444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327548928).

252345444 is an abundant number, since it is smaller than the sum of its proper divisors (402752412).

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

252345444 is a wasteful number, since it uses less digits than its factorization.

252345444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 463 counting only the distinct ones).

The product of its digits is 76800, while the sum is 33.

The square root of 252345444 is about 15885.3846034649. The cubic root of 252345444 is about 631.9244455158.

Adding to 252345444 its reverse (444543252), we get a palindrome (696888696).

It can be divided in two parts, 252 and 345444, that added together give a triangular number (345696 = T₈₃₁).

The spelling of 252345444 in words is "two hundred fifty-two million, three hundred forty-five thousand, four hundred forty-four".