252438144 has 64 divisors (see below), whose sum is σ = 766338240. Its totient is φ = 72124416.

The previous prime is 252438119. The next prime is 252438149. The reversal of 252438144 is 441834252.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (252438149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44269 + ... + 49644.

It is an arithmetic number, because the mean of its divisors is an integer number (11974035).

Almost surely, 2^252438144 is an apocalyptic number.

252438144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252438144 is an abundant number, since it is smaller than the sum of its proper divisors (513900096).

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

252438144 is an equidigital number, since it uses as much as digits as its factorization.

252438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93937 (or 93925 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 252438144 is about 15888.3021119313. The cubic root of 252438144 is about 632.0018159431.

The spelling of 252438144 in words is "two hundred fifty-two million, four hundred thirty-eight thousand, one hundred forty-four".