252210420 has 288 divisors, whose sum is σ = 986259456. Its totient is φ = 50630400.

The previous prime is 252210391. The next prime is 252210421. The reversal of 252210420 is 24012252.

252210420 is a `hidden beast` number, since 25 + 221 + 0 + 420 = 666.

252210420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252210420² = 127220191913152800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 252210393 and 252210402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252210421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429367 + ... + 429953.

It is an arithmetic number, because the mean of its divisors is an integer number (3424512).

Almost surely, 2^252210420 is an apocalyptic number.

252210420 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 252210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493129728).

252210420 is an abundant number, since it is smaller than the sum of its proper divisors (734049036).

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

252210420 is a wasteful number, since it uses less digits than its factorization.

252210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252210420 is about 15881.1340904861. The cubic root of 252210420 is about 631.8117161980.

Adding to 252210420 its reverse (24012252), we get a palindrome (276222672).

The spelling of 252210420 in words is "two hundred fifty-two million, two hundred ten thousand, four hundred twenty".