252418842 has 80 divisors (see below), whose sum is σ = 630269640. Its totient is φ = 74971008.

The previous prime is 252418841. The next prime is 252418861. The reversal of 252418842 is 248814252.

It can be written as a sum of positive squares in 4 ways, for example, as 204518601 + 47900241 = 14301^2 + 6921^2 .

It is a junction number, because it is equal to n+sod(n) for n = 252418797 and 252418806.

It is not an unprimeable number, because it can be changed into a prime (252418841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59008 + ... + 63140.

Almost surely, 2^252418842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252418842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315134820).

252418842 is an abundant number, since it is smaller than the sum of its proper divisors (377850798).

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

252418842 is a wasteful number, since it uses less digits than its factorization.

252418842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4180 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 252418842 is about 15887.6946722928. The cubic root of 252418842 is about 631.9857074293.

The spelling of 252418842 in words is "two hundred fifty-two million, four hundred eighteen thousand, eight hundred forty-two".