4226302080 has 768 divisors, whose sum is σ = 19621405440. Its totient is φ = 809533440.

The previous prime is 4226302061. The next prime is 4226302081. The reversal of 4226302080 is 802036224.

4226302080 is a `hidden beast` number, since 4 + 2 + 2 + 630 + 20 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4226302081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5765394 + ... + 5766126.

It is an arithmetic number, because the mean of its divisors is an integer number (25548705).

Almost surely, 2^4226302080 is an apocalyptic number.

4226302080 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 4226302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9810702720).

4226302080 is an abundant number, since it is smaller than the sum of its proper divisors (15395103360).

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

4226302080 is a wasteful number, since it uses less digits than its factorization.

4226302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4226302080 is about 65010.0152284246. The cubic root of 4226302080 is about 1616.7896183577.

The spelling of 4226302080 in words is "four billion, two hundred twenty-six million, three hundred two thousand, eighty".