4416467328 has 640 divisors, whose sum is σ = 16808816640. Its totient is φ = 1119744000.

The previous prime is 4416467311. The next prime is 4416467329. The reversal of 4416467328 is 8237646144.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416467329) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29248053 + ... + 29248203.

It is an arithmetic number, because the mean of its divisors is an integer number (26263776).

Almost surely, 2^4416467328 is an apocalyptic number.

4416467328 is a gapful number since it is divisible by the number (48) 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 4416467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8404408320).

4416467328 is an abundant number, since it is smaller than the sum of its proper divisors (12392349312).

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

4416467328 is a wasteful number, since it uses less digits than its factorization.

4416467328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4416467328 is about 66456.5070403192. The cubic root of 4416467328 is about 1640.6842435292.

The spelling of 4416467328 in words is "four billion, four hundred sixteen million, four hundred sixty-seven thousand, three hundred twenty-eight".