4446283680 has 144 divisors (see below), whose sum is σ = 15199768584. Its totient is φ = 1183580160.

The previous prime is 4446283669. The next prime is 4446283697. The reversal of 4446283680 is 863826444.

It can be written as a sum of positive squares in 4 ways, for example, as 3538346256 + 907937424 = 59484^2 + 30132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920632 + ... + 925448.

Almost surely, 2^4446283680 is an apocalyptic number.

4446283680 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 4446283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599884292).

4446283680 is an abundant number, since it is smaller than the sum of its proper divisors (10753484904).

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

4446283680 is a wasteful number, since it uses less digits than its factorization.

4446283680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 4446283680 is about 66680.4595065151. The cubic root of 4446283680 is about 1644.3681488559.

The spelling of 4446283680 in words is "four billion, four hundred forty-six million, two hundred eighty-three thousand, six hundred eighty".