4166480448 has 168 divisors, whose sum is σ = 12900940416. Its totient is φ = 1278028800.

The previous prime is 4166480447. The next prime is 4166480471. The reversal of 4166480448 is 8440846614.

4166480448 is a `hidden beast` number, since 4 + 166 + 48 + 0 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (4166480441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3226683 + ... + 3227973.

It is an arithmetic number, because the mean of its divisors is an integer number (76791312).

Almost surely, 2^4166480448 is an apocalyptic number.

4166480448 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 4166480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450470208).

4166480448 is an abundant number, since it is smaller than the sum of its proper divisors (8734459968).

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

4166480448 is a wasteful number, since it uses less digits than its factorization.

4166480448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4166480448 is about 64548.2799770838. The cubic root of 4166480448 is about 1609.1250016995.

The spelling of 4166480448 in words is "four billion, one hundred sixty-six million, four hundred eighty thousand, four hundred forty-eight".