4543948800 has 576 divisors, whose sum is σ = 17670744000. Its totient is φ = 1141309440.

The previous prime is 4543948763. The next prime is 4543948813. The reversal of 4543948800 is 88493454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26265514 + ... + 26265686.

It is an arithmetic number, because the mean of its divisors is an integer number (30678375).

Almost surely, 2^4543948800 is an apocalyptic number.

4543948800 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 4543948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835372000).

4543948800 is an abundant number, since it is smaller than the sum of its proper divisors (13126795200).

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

4543948800 is a wasteful number, since it uses less digits than its factorization.

4543948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4543948800 is about 67408.8184142105. The cubic root of 4543948800 is about 1656.3208787989.

The spelling of 4543948800 in words is "four billion, five hundred forty-three million, nine hundred forty-eight thousand, eight hundred".