252395668 has 72 divisors (see below), whose sum is σ = 548130240. Its totient is φ = 101041920.

The previous prime is 252395659. The next prime is 252395669. The reversal of 252395668 is 866593252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252395669) 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, 702873 + ... + 703231.

It is an arithmetic number, because the mean of its divisors is an integer number (7612920).

Almost surely, 2^252395668 is an apocalyptic number.

252395668 is a gapful number since it is divisible by the number (28) 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 252395668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274065120).

252395668 is an abundant number, since it is smaller than the sum of its proper divisors (295734572).

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

252395668 is a wasteful number, since it uses less digits than its factorization.

252395668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 596 counting only the distinct ones).

The product of its digits is 777600, while the sum is 46.

The square root of 252395668 is about 15886.9653489897. The cubic root of 252395668 is about 631.9663664471.

The spelling of 252395668 in words is "two hundred fifty-two million, three hundred ninety-five thousand, six hundred sixty-eight".