4745449800 has 1152 divisors, whose sum is σ = 21611116800. Its totient is φ = 940584960.

The previous prime is 4745449759. The next prime is 4745449801. The reversal of 4745449800 is 89445474.

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

It is not an unprimeable number, because it can be changed into a prime (4745449801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 128255382 + ... + 128255418.

It is an arithmetic number, because the mean of its divisors is an integer number (18759650).

Almost surely, 2^4745449800 is an apocalyptic number.

4745449800 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 4745449800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805558400).

4745449800 is an abundant number, since it is smaller than the sum of its proper divisors (16865667000).

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

4745449800 is a wasteful number, since it uses less digits than its factorization.

4745449800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4745449800 is about 68887.2252308075. The cubic root of 4745449800 is about 1680.4507718967.

The spelling of 4745449800 in words is "four billion, seven hundred forty-five million, four hundred forty-nine thousand, eight hundred".