4482734400 has 210 divisors, whose sum is σ = 16477880430. Its totient is φ = 1195361280.

The previous prime is 4482734351. The next prime is 4482734413. The reversal of 4482734400 is 44372844.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 75898944 + 4406835456 = 8712^2 + 66384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 112306 + ... + 146894.

Almost surely, 2^4482734400 is an apocalyptic number.

4482734400 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 4482734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8238940215).

4482734400 is an abundant number, since it is smaller than the sum of its proper divisors (11995146030).

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

4482734400 is a wasteful number, since it uses less digits than its factorization.

4482734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34623 (or 34599 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4482734400 is about 66953.2254637519. The cubic root of 4482734400 is about 1648.8494458326.

The spelling of 4482734400 in words is "four billion, four hundred eighty-two million, seven hundred thirty-four thousand, four hundred".