4235200 has 42 divisors (see below), whose sum is σ = 10425176. Its totient is φ = 1693440.

The previous prime is 4235149. The next prime is 4235201. The reversal of 4235200 is 25324.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4235201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 277 + ... + 2923.

Almost surely, 2^4235200 is an apocalyptic number.

4235200 is a gapful number since it is divisible by the number (40) 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 4235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212588).

4235200 is an abundant number, since it is smaller than the sum of its proper divisors (6189976).

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

4235200 is a wasteful number, since it uses less digits than its factorization.

4235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 4235200 is about 2057.9601551050. The cubic root of 4235200 is about 161.7923468566.

The spelling of 4235200 in words is "four million, two hundred thirty-five thousand, two hundred".