252820224 has 144 divisors (see below), whose sum is σ = 758732800. Its totient is φ = 83026944.

The previous prime is 252820219. The next prime is 252820247. The reversal of 252820224 is 422028252.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545817 + ... + 546279.

Almost surely, 2^252820224 is an apocalyptic number.

252820224 is a gapful number since it is divisible by the number (24) 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 252820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379366400).

252820224 is an abundant number, since it is smaller than the sum of its proper divisors (505912576).

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

252820224 is an equidigital number, since it uses as much as digits as its factorization.

252820224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 252820224 is about 15900.3215061835. The cubic root of 252820224 is about 632.3205125333.

Adding to 252820224 its reverse (422028252), we get a palindrome (674848476).

The spelling of 252820224 in words is "two hundred fifty-two million, eight hundred twenty thousand, two hundred twenty-four".