252246240 has 144 divisors (see below), whose sum is σ = 875674800. Its totient is φ = 66103296.

The previous prime is 252246229. The next prime is 252246277. The reversal of 252246240 is 42642252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 83476 + ... + 86444.

It is an arithmetic number, because the mean of its divisors is an integer number (6081075).

Almost surely, 2^252246240 is an apocalyptic number.

252246240 is a gapful number since it is divisible by the number (20) 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 252246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437837400).

252246240 is an abundant number, since it is smaller than the sum of its proper divisors (623428560).

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

252246240 is a wasteful number, since it uses less digits than its factorization.

252246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 252246240 is about 15882.2618036601. The cubic root of 252246240 is about 631.8416256473.

Adding to 252246240 its reverse (42642252), we get a palindrome (294888492).

The spelling of 252246240 in words is "two hundred fifty-two million, two hundred forty-six thousand, two hundred forty".