4222280480 has 144 divisors (see below), whose sum is σ = 11610277560. Its totient is φ = 1444945920.

The previous prime is 4222280459. The next prime is 4222280483. The reversal of 4222280480 is 840822224.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4109835664 + 112444816 = 64108^2 + 10604^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4222280483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322706 + ... + 335534.

Almost surely, 2^4222280480 is an apocalyptic number.

4222280480 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 4222280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805138780).

4222280480 is an abundant number, since it is smaller than the sum of its proper divisors (7387997080).

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

4222280480 is a wasteful number, since it uses less digits than its factorization.

4222280480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12883 (or 12864 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4222280480 is about 64979.0772479881. The cubic root of 4222280480 is about 1616.2766289498.

The spelling of 4222280480 in words is "four billion, two hundred twenty-two million, two hundred eighty thousand, four hundred eighty".