4541253200 has 120 divisors (see below), whose sum is σ = 11956838880. Its totient is φ = 1643788800.

The previous prime is 4541253191. The next prime is 4541253281. The reversal of 4541253200 is 23521454.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4541253200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005347 + ... + 1009853.

It is an arithmetic number, because the mean of its divisors is an integer number (99640324).

Almost surely, 2^4541253200 is an apocalyptic number.

4541253200 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 4541253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978419440).

4541253200 is an abundant number, since it is smaller than the sum of its proper divisors (7415585680).

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

4541253200 is a wasteful number, since it uses less digits than its factorization.

4541253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 4541253200 is about 67388.8210313847. The cubic root of 4541253200 is about 1655.9932884198.

Adding to 4541253200 its reverse (23521454), we get a palindrome (4564774654).

The spelling of 4541253200 in words is "four billion, five hundred forty-one million, two hundred fifty-three thousand, two hundred".