4432420608 has 288 divisors, whose sum is σ = 15576261120. Its totient is φ = 1083310080.

The previous prime is 4432420543. The next prime is 4432420633. The reversal of 4432420608 is 8060242344.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1003108 + ... + 1007516.

It is an arithmetic number, because the mean of its divisors is an integer number (54084240).

Almost surely, 2^4432420608 is an apocalyptic number.

4432420608 is a gapful number since it is divisible by the number (48) 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 4432420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788130560).

4432420608 is an abundant number, since it is smaller than the sum of its proper divisors (11143840512).

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

4432420608 is a wasteful number, since it uses less digits than its factorization.

4432420608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 4432420608 is about 66576.4268191077. The cubic root of 4432420608 is about 1642.6573772923.

The spelling of 4432420608 in words is "four billion, four hundred thirty-two million, four hundred twenty thousand, six hundred eight".