4489228800 has 720 divisors, whose sum is σ = 19393133760. Its totient is φ = 968785920.

The previous prime is 4489228769. The next prime is 4489228831. The reversal of 4489228800 is 88229844.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4489228769) and next prime (4489228831).

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 15321454 + ... + 15321746.

It is an arithmetic number, because the mean of its divisors is an integer number (26934908).

Almost surely, 2^4489228800 is an apocalyptic number.

4489228800 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 4489228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696566880).

4489228800 is an abundant number, since it is smaller than the sum of its proper divisors (14903904960).

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

4489228800 is a wasteful number, since it uses less digits than its factorization.

4489228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4489228800 is about 67001.7074409302. The cubic root of 4489228800 is about 1649.6453232147.

It can be divided in two parts, 4489 and 228800, that added together give a square (233289 = 483²).

The spelling of 4489228800 in words is "four billion, four hundred eighty-nine million, two hundred twenty-eight thousand, eight hundred".