4483284400 has 240 divisors, whose sum is σ = 12883550400. Its totient is φ = 1497753600.

The previous prime is 4483284383. The next prime is 4483284409. The reversal of 4483284400 is 44823844.

It is a super-2 number, since 2×4483284400² = 40199678022566720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4483284400.

It is not an unprimeable number, because it can be changed into a prime (4483284409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5624802 + ... + 5625598.

It is an arithmetic number, because the mean of its divisors is an integer number (53681460).

Almost surely, 2^4483284400 is an apocalyptic number.

4483284400 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 4483284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441775200).

4483284400 is an abundant number, since it is smaller than the sum of its proper divisors (8400266000).

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

4483284400 is a wasteful number, since it uses less digits than its factorization.

4483284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The square root of 4483284400 is about 66957.3326828362. The cubic root of 4483284400 is about 1648.9168771537.

The spelling of 4483284400 in words is "four billion, four hundred eighty-three million, two hundred eighty-four thousand, four hundred".