252345786 has 128 divisors (see below), whose sum is σ = 655257600. Its totient is φ = 64209600.

The previous prime is 252345781. The next prime is 252345799. The reversal of 252345786 is 687543252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (252345781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1607220 + ... + 1607376.

It is an arithmetic number, because the mean of its divisors is an integer number (5119200).

Almost surely, 2^252345786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252345786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327628800).

252345786 is an abundant number, since it is smaller than the sum of its proper divisors (402911814).

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

252345786 is a wasteful number, since it uses less digits than its factorization.

252345786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 252345786 is about 15885.3953680732. The cubic root of 252345786 is about 631.9247309950.

The spelling of 252345786 in words is "two hundred fifty-two million, three hundred forty-five thousand, seven hundred eighty-six".