252041472 has 108 divisors (see below), whose sum is σ = 732855760. Its totient is φ = 83303424.

The previous prime is 252041467. The next prime is 252041477. The reversal of 252041472 is 274140252.

It is an interprime number because it is at equal distance from previous prime (252041467) and next prime (252041477).

It is not an unprimeable number, because it can be changed into a prime (252041477) 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 11 ways as a sum of consecutive naturals, for example, 319863 + ... + 320649.

Almost surely, 2^252041472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366427880).

252041472 is an abundant number, since it is smaller than the sum of its proper divisors (480814288).

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

252041472 is a wasteful number, since it uses less digits than its factorization.

252041472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 252041472 is about 15875.8140578680. The cubic root of 252041472 is about 631.6706076091.

The spelling of 252041472 in words is "two hundred fifty-two million, forty-one thousand, four hundred seventy-two".