4229268480 has 132 divisors (see below), whose sum is σ = 14654464812. Its totient is φ = 1127792640.

The previous prime is 4229268473. The next prime is 4229268481. The reversal of 4229268480 is 848629224.

4229268480 is a `hidden beast` number, since 4 + 22 + 92 + 68 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1380271104 + 2848997376 = 37152^2 + 53376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4229268481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190 + ... + 91970.

Almost surely, 2^4229268480 is an apocalyptic number.

4229268480 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 4229268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327232406).

4229268480 is an abundant number, since it is smaller than the sum of its proper divisors (10425196332).

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

4229268480 is a wasteful number, since it uses less digits than its factorization.

4229268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91812 (or 91791 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4229268480 is about 65032.8261726338. The cubic root of 4229268480 is about 1617.1677994856.

The spelling of 4229268480 in words is "four billion, two hundred twenty-nine million, two hundred sixty-eight thousand, four hundred eighty".