4446778224 has 160 divisors (see below), whose sum is σ = 13486835200. Its totient is φ = 1261951488.

The previous prime is 4446778199. The next prime is 4446778253. The reversal of 4446778224 is 4228776444.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2682804 + ... + 2684460.

It is an arithmetic number, because the mean of its divisors is an integer number (84292720).

Almost surely, 2^4446778224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4446778224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743417600).

4446778224 is an abundant number, since it is smaller than the sum of its proper divisors (9040056976).

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

4446778224 is a wasteful number, since it uses less digits than its factorization.

4446778224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1832 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 48.

The square root of 4446778224 is about 66684.1677161828. The cubic root of 4446778224 is about 1644.4291122965.

The spelling of 4446778224 in words is "four billion, four hundred forty-six million, seven hundred seventy-eight thousand, two hundred twenty-four".