4230982080 has 448 divisors, whose sum is σ = 16249497600. Its totient is φ = 1030164480.

The previous prime is 4230982051. The next prime is 4230982081. The reversal of 4230982080 is 802890324.

It is a super-2 number, since 2×4230982080² = 35802418722562252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230982081) 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 63 ways as a sum of consecutive naturals, for example, 15612345 + ... + 15612615.

It is an arithmetic number, because the mean of its divisors is an integer number (36271200).

Almost surely, 2^4230982080 is an apocalyptic number.

4230982080 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 4230982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124748800).

4230982080 is an abundant number, since it is smaller than the sum of its proper divisors (12018515520).

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

4230982080 is a wasteful number, since it uses less digits than its factorization.

4230982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4230982080 is about 65045.9997232728. Note that the first 3 decimals coincide. The cubic root of 4230982080 is about 1617.3861827644.

Adding to 4230982080 its sum of digits (36), we get a square (4230982116 = 65046²).

It can be divided in two parts, 4230 and 982080, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 4230982080 in words is "four billion, two hundred thirty million, nine hundred eighty-two thousand, eighty".