252022420 has 48 divisors (see below), whose sum is σ = 580744080. Its totient is φ = 91293696.

The previous prime is 252022391. The next prime is 252022447. The reversal of 252022420 is 24220252.

It can be written as a sum of positive squares in 8 ways, for example, as 8225424 + 243796996 = 2868^2 + 15614^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4636 + ... + 22924.

It is an arithmetic number, because the mean of its divisors is an integer number (12098835).

Almost surely, 2^252022420 is an apocalyptic number.

252022420 is a gapful number since it is divisible by the number (20) 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 252022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290372040).

252022420 is an abundant number, since it is smaller than the sum of its proper divisors (328721660).

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

252022420 is a wasteful number, since it uses less digits than its factorization.

252022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18364 (or 18362 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 252022420 is about 15875.2140143054. The cubic root of 252022420 is about 631.6546910596.

Adding to 252022420 its reverse (24220252), we get a palindrome (276242672).

The spelling of 252022420 in words is "two hundred fifty-two million, twenty-two thousand, four hundred twenty".