4478208000 has 768 divisors, whose sum is σ = 18398016000. Its totient is φ = 963379200.

The previous prime is 4478207999. The next prime is 4478208011. The reversal of 4478208000 is 8028744.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263423992 + ... + 263424008.

It is an arithmetic number, because the mean of its divisors is an integer number (23955750).

Almost surely, 2^4478208000 is an apocalyptic number.

4478208000 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 4478208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9199008000).

4478208000 is an abundant number, since it is smaller than the sum of its proper divisors (13919808000).

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

4478208000 is an equidigital number, since it uses as much as digits as its factorization.

4478208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 4478208000 is about 66919.4142233777. The cubic root of 4478208000 is about 1648.2942887273.

The spelling of 4478208000 in words is "four billion, four hundred seventy-eight million, two hundred eight thousand".