252246020 has 72 divisors (see below), whose sum is σ = 589393224. Its totient is φ = 90574848.

The previous prime is 252246013. The next prime is 252246023. The reversal of 252246020 is 20642252.

It can be written as a sum of positive squares in 12 ways, for example, as 44943616 + 207302404 = 6704^2 + 14398^2 .

It is not an unprimeable number, because it can be changed into a prime (252246023) 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 23 ways as a sum of consecutive naturals, for example, 124052 + ... + 126068.

It is an arithmetic number, because the mean of its divisors is an integer number (8186017).

Almost surely, 2^252246020 is an apocalyptic number.

252246020 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 252246020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294696612).

252246020 is an abundant number, since it is smaller than the sum of its proper divisors (337147204).

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

252246020 is a wasteful number, since it uses less digits than its factorization.

252246020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 252246020 is about 15882.2548776929. The cubic root of 252246020 is about 631.8414419575.

Adding to 252246020 its reverse (20642252), we get a palindrome (272888272).

The spelling of 252246020 in words is "two hundred fifty-two million, two hundred forty-six thousand, twenty".