252009144 has 40 divisors (see below), whose sum is σ = 705860760. Its totient is φ = 84002832.

The previous prime is 252009143. The next prime is 252009151. The reversal of 252009144 is 441900252.

252009144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252009144² = 127017217319225472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252009143) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 193804 + ... + 195099.

It is an arithmetic number, because the mean of its divisors is an integer number (17646519).

Almost surely, 2^252009144 is an apocalyptic number.

252009144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252009144 is an abundant number, since it is smaller than the sum of its proper divisors (453851616).

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

252009144 is a wasteful number, since it uses less digits than its factorization.

252009144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388921 (or 388908 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 252009144 is about 15874.7958727034. The cubic root of 252009144 is about 631.6435994606.

Adding to 252009144 its reverse (441900252), we get a palindrome (693909396).

The spelling of 252009144 in words is "two hundred fifty-two million, nine thousand, one hundred forty-four".