4454221200 has 480 divisors, whose sum is σ = 16994662272. Its totient is φ = 983040000.

The previous prime is 4454221169. The next prime is 4454221253. The reversal of 4454221200 is 21224544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17331472 + ... + 17331728.

Almost surely, 2^4454221200 is an apocalyptic number.

4454221200 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 4454221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497331136).

4454221200 is an abundant number, since it is smaller than the sum of its proper divisors (12540441072).

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

4454221200 is a wasteful number, since it uses less digits than its factorization.

4454221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4454221200 is about 66739.9520527248. The cubic root of 4454221200 is about 1645.3460775978.

Adding to 4454221200 its reverse (21224544), we get a palindrome (4475445744).

The spelling of 4454221200 in words is "four billion, four hundred fifty-four million, two hundred twenty-one thousand, two hundred".