4472332800 has 720 divisors, whose sum is σ = 17446716672. Its totient is φ = 1002700800.

The previous prime is 4472332789. The next prime is 4472332807. The reversal of 4472332800 is 82332744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4472332807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144268785 + ... + 144268815.

Almost surely, 2^4472332800 is an apocalyptic number.

4472332800 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 4472332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8723358336).

4472332800 is an abundant number, since it is smaller than the sum of its proper divisors (12974383872).

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

4472332800 is a wasteful number, since it uses less digits than its factorization.

4472332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 4472332800 is about 66875.5022411047. The cubic root of 4472332800 is about 1647.5731448601.

The spelling of 4472332800 in words is "four billion, four hundred seventy-two million, three hundred thirty-two thousand, eight hundred".