4253200 has 120 divisors (see below), whose sum is σ = 12300800. Its totient is φ = 1411200.

The previous prime is 4253167. The next prime is 4253201. The reversal of 4253200 is 23524.

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

It is not an unprimeable number, because it can be changed into a prime (4253201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137185 + ... + 137215.

Almost surely, 2^4253200 is an apocalyptic number.

4253200 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 4253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150400).

4253200 is an abundant number, since it is smaller than the sum of its proper divisors (8047600).

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

4253200 is a wasteful number, since it uses less digits than its factorization.

4253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 45 counting only the distinct ones).

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

The square root of 4253200 is about 2062.3287807719. The cubic root of 4253200 is about 162.0212338168.

Adding to 4253200 its reverse (23524), we get a palindrome (4276724).

The spelling of 4253200 in words is "four million, two hundred fifty-three thousand, two hundred".