4500526800 has 480 divisors, whose sum is σ = 18333112320. Its totient is φ = 916531200.

The previous prime is 4500526781. The next prime is 4500526801. The reversal of 4500526800 is 86250054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4500526801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4896741 + ... + 4897659.

It is an arithmetic number, because the mean of its divisors is an integer number (38193984).

Almost surely, 2^4500526800 is an apocalyptic number.

4500526800 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 4500526800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166556160).

4500526800 is an abundant number, since it is smaller than the sum of its proper divisors (13832585520).

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

4500526800 is a wasteful number, since it uses less digits than its factorization.

4500526800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4500526800 is about 67085.9657454523. The cubic root of 4500526800 is about 1651.0280462029.

Adding to 4500526800 its reverse (86250054), we get a palindrome (4586776854).

The spelling of 4500526800 in words is "four billion, five hundred million, five hundred twenty-six thousand, eight hundred".