252528220 has 48 divisors (see below), whose sum is σ = 609981120. Its totient is φ = 86022144.

The previous prime is 252528191. The next prime is 252528229. The reversal of 252528220 is 22825252.

252528220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252528229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16236 + ... + 27724.

It is an arithmetic number, because the mean of its divisors is an integer number (12707940).

Almost surely, 2^252528220 is an apocalyptic number.

252528220 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 252528220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304990560).

252528220 is an abundant number, since it is smaller than the sum of its proper divisors (357452900).

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

252528220 is a wasteful number, since it uses less digits than its factorization.

252528220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11662 (or 11660 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 252528220 is about 15891.1365232321. The cubic root of 252528220 is about 632.0769781523.

The spelling of 252528220 in words is "two hundred fifty-two million, five hundred twenty-eight thousand, two hundred twenty".