4548792800 has 144 divisors (see below), whose sum is σ = 11662691040. Its totient is φ = 1729136640.

The previous prime is 4548792791. The next prime is 4548792803. The reversal of 4548792800 is 82978454.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4548792803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3182486 + ... + 3183914.

It is an arithmetic number, because the mean of its divisors is an integer number (80990910).

Almost surely, 2^4548792800 is an apocalyptic number.

4548792800 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 4548792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831345520).

4548792800 is an abundant number, since it is smaller than the sum of its proper divisors (7113898240).

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

4548792800 is a wasteful number, since it uses less digits than its factorization.

4548792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 4548792800 is about 67444.7388607888. The cubic root of 4548792800 is about 1656.9092340946.

The spelling of 4548792800 in words is "four billion, five hundred forty-eight million, seven hundred ninety-two thousand, eight hundred".