4200252 has 48 divisors (see below), whose sum is σ = 11569152. Its totient is φ = 1160640.

The previous prime is 4200247. The next prime is 4200257. The reversal of 4200252 is 2520024.

It is an interprime number because it is at equal distance from previous prime (4200247) and next prime (4200257).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200257) 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, 1798 + ... + 3410.

It is an arithmetic number, because the mean of its divisors is an integer number (241024).

Almost surely, 2^4200252 is an apocalyptic number.

4200252 is a gapful number since it is divisible by the number (42) 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 4200252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784576).

4200252 is an abundant number, since it is smaller than the sum of its proper divisors (7368900).

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

4200252 is a wasteful number, since it uses less digits than its factorization.

4200252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4200252 is about 2049.4516339743. The cubic root of 4200252 is about 161.3460913952.

Adding to 4200252 its reverse (2520024), we get a palindrome (6720276).

The spelling of 4200252 in words is "four million, two hundred thousand, two hundred fifty-two".