4472352000 has 432 divisors, whose sum is σ = 16452425808. Its totient is φ = 1166131200.

The previous prime is 4472351977. The next prime is 4472352011. The reversal of 4472352000 is 2532744.

It can be written as a sum of positive squares in 8 ways, for example, as 204604416 + 4267747584 = 14304^2 + 65328^2 .

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 47 ways as a sum of consecutive naturals, for example, 15263854 + ... + 15264146.

It is an arithmetic number, because the mean of its divisors is an integer number (38084319).

Almost surely, 2^4472352000 is an apocalyptic number.

4472352000 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 4472352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226212904).

4472352000 is an abundant number, since it is smaller than the sum of its proper divisors (11980073808).

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

4472352000 is a wasteful number, since it uses less digits than its factorization.

4472352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4472352000 is about 66875.6457912744. The cubic root of 4472352000 is about 1647.5755025677.

Adding to 4472352000 its reverse (2532744), we get a palindrome (4474884744).

The spelling of 4472352000 in words is "four billion, four hundred seventy-two million, three hundred fifty-two thousand".