4472392320 has 960 divisors, whose sum is σ = 18909918720. Its totient is φ = 1003622400.

The previous prime is 4472392307. The next prime is 4472392321. The reversal of 4472392320 is 232932744.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (4472392321) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 144270705 + ... + 144270735.

It is an arithmetic number, because the mean of its divisors is an integer number (19697832).

Almost surely, 2^4472392320 is an apocalyptic number.

4472392320 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 4472392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454959360).

4472392320 is an abundant number, since it is smaller than the sum of its proper divisors (14437526400).

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

4472392320 is a wasteful number, since it uses less digits than its factorization.

4472392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4472392320 is about 66875.9472456279. The cubic root of 4472392320 is about 1647.5804537317.

The spelling of 4472392320 in words is "four billion, four hundred seventy-two million, three hundred ninety-two thousand, three hundred twenty".