252264816 has 120 divisors (see below), whose sum is σ = 733234320. Its totient is φ = 80898048.

The previous prime is 252264811. The next prime is 252264827. The reversal of 252264816 is 618462252.

It is a happy number.

252264816 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 648 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252264811) 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, 601855 + ... + 602273.

It is an arithmetic number, because the mean of its divisors is an integer number (6110286).

Almost surely, 2^252264816 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 252264816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366617160).

252264816 is an abundant number, since it is smaller than the sum of its proper divisors (480969504).

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

252264816 is a wasteful number, since it uses less digits than its factorization.

252264816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 574 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 252264816 is about 15882.8465962497. The cubic root of 252264816 is about 631.8571353624.

The spelling of 252264816 in words is "two hundred fifty-two million, two hundred sixty-four thousand, eight hundred sixteen".