4482432000 has 352 divisors, whose sum is σ = 16579717440. Its totient is φ = 1194393600.

The previous prime is 4482431879. The next prime is 4482432037. The reversal of 4482432000 is 2342844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455352 + ... + 3456648.

It is an arithmetic number, because the mean of its divisors is an integer number (47101470).

Almost surely, 2^4482432000 is an apocalyptic number.

4482432000 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 4482432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8289858720).

4482432000 is an abundant number, since it is smaller than the sum of its proper divisors (12097285440).

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

4482432000 is a wasteful number, since it uses less digits than its factorization.

4482432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4482432000 is about 66950.9671326711. The cubic root of 4482432000 is about 1648.8123685162.

Adding to 4482432000 its reverse (2342844), we get a palindrome (4484774844).

The spelling of 4482432000 in words is "four billion, four hundred eighty-two million, four hundred thirty-two thousand".