252344448 has 96 divisors (see below), whose sum is σ = 740027340. Its totient is φ = 82507776.

The previous prime is 252344441. The next prime is 252344461. The reversal of 252344448 is 844443252.

It can be written as a sum of positive squares in 2 ways, for example, as 238146624 + 14197824 = 15432^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×252344448³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (252344441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58990 + ... + 63122.

Almost surely, 2^252344448 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 252344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370013670).

252344448 is an abundant number, since it is smaller than the sum of its proper divisors (487682892).

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

252344448 is a wasteful number, since it uses less digits than its factorization.

252344448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206 (or 4191 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 252344448 is about 15885.3532538625. The cubic root of 252344448 is about 631.9236141190.

It can be divided in two parts, 2523 and 44448, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 252344448 in words is "two hundred fifty-two million, three hundred forty-four thousand, four hundred forty-eight".