252447144 has 64 divisors (see below), whose sum is σ = 670343040. Its totient is φ = 78950400.

The previous prime is 252447131. The next prime is 252447163. The reversal of 252447144 is 441744252.

252447144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 162837 + ... + 164379.

It is an arithmetic number, because the mean of its divisors is an integer number (10474110).

Almost surely, 2^252447144 is an apocalyptic number.

252447144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252447144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335171520).

252447144 is an abundant number, since it is smaller than the sum of its proper divisors (417895896).

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

252447144 is a wasteful number, since it uses less digits than its factorization.

252447144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1966 counting only the distinct ones).

The product of its digits is 35840, while the sum is 33.

The square root of 252447144 is about 15888.5853366497. The cubic root of 252447144 is about 632.0093266262.

The spelling of 252447144 in words is "two hundred fifty-two million, four hundred forty-seven thousand, one hundred forty-four".