252220500 has 384 divisors, whose sum is σ = 993807360. Its totient is φ = 53913600.

The previous prime is 252220489. The next prime is 252220531. The reversal of 252220500 is 5022252.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1606422 + ... + 1606578.

It is an arithmetic number, because the mean of its divisors is an integer number (2588040).

Almost surely, 2^252220500 is an apocalyptic number.

252220500 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 252220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496903680).

252220500 is an abundant number, since it is smaller than the sum of its proper divisors (741586860).

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

252220500 is a wasteful number, since it uses less digits than its factorization.

252220500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 252220500 is about 15881.4514450034. The cubic root of 252220500 is about 631.8201332138.

Adding to 252220500 its reverse (5022252), we get a palindrome (257242752).

The spelling of 252220500 in words is "two hundred fifty-two million, two hundred twenty thousand, five hundred".