252263456 has 48 divisors (see below), whose sum is σ = 534996000. Its totient is φ = 116702208.

The previous prime is 252263449. The next prime is 252263503. The reversal of 252263456 is 654362252.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21320 + ... + 30968.

It is an arithmetic number, because the mean of its divisors is an integer number (11145750).

Almost surely, 2^252263456 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 252263456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267498000).

252263456 is an abundant number, since it is smaller than the sum of its proper divisors (282732544).

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

252263456 is a wasteful number, since it uses less digits than its factorization.

252263456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721 (or 9713 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

The square root of 252263456 is about 15882.8037827079. The cubic root of 252263456 is about 631.8559998794.

It can be divided in two parts, 25226 and 3456, that added together give a palindrome (28682).

The spelling of 252263456 in words is "two hundred fifty-two million, two hundred sixty-three thousand, four hundred fifty-six".