4490806320 has 1280 divisors, whose sum is σ = 21758607360. Its totient is φ = 821145600.

The previous prime is 4490806319. The next prime is 4490806357. The reversal of 4490806320 is 236080944.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67026927 + ... + 67026993.

It is an arithmetic number, because the mean of its divisors is an integer number (16998912).

Almost surely, 2^4490806320 is an apocalyptic number.

4490806320 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 4490806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10879303680).

4490806320 is an abundant number, since it is smaller than the sum of its proper divisors (17267801040).

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

4490806320 is a wasteful number, since it uses less digits than its factorization.

4490806320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4490806320 is about 67013.4786442250. The cubic root of 4490806320 is about 1649.8385296534.

The spelling of 4490806320 in words is "four billion, four hundred ninety million, eight hundred six thousand, three hundred twenty".