4153200 has 60 divisors (see below), whose sum is σ = 13307928. Its totient is φ = 1107200.

The previous prime is 4153199. The next prime is 4153207. The reversal of 4153200 is 23514.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4153200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531 + ... + 2930.

Almost surely, 2^4153200 is an apocalyptic number.

4153200 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 4153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653964).

4153200 is an abundant number, since it is smaller than the sum of its proper divisors (9154728).

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

4153200 is a wasteful number, since it uses less digits than its factorization.

4153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4153200 is about 2037.9401365104. The cubic root of 4153200 is about 160.7413513500.

Adding to 4153200 its reverse (23514), we get a palindrome (4176714).

The spelling of 4153200 in words is "four million, one hundred fifty-three thousand, two hundred".