4463424000 has 960 divisors, whose sum is σ = 19518250752. Its totient is φ = 995328000.

The previous prime is 4463423983. The next prime is 4463424011. The reversal of 4463424000 is 4243644.

4463424000 is a `hidden beast` number, since 4 + 4 + 634 + 24 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108863980 + ... + 108864020.

Almost surely, 2^4463424000 is an apocalyptic number.

4463424000 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 4463424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9759125376).

4463424000 is an abundant number, since it is smaller than the sum of its proper divisors (15054826752).

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

4463424000 is an frugal number, since it uses more digits than its factorization.

4463424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4463424000 is about 66808.8616876534. The cubic root of 4463424000 is about 1646.4784397685.

Adding to 4463424000 its reverse (4243644), we get a palindrome (4467667644).

The spelling of 4463424000 in words is "four billion, four hundred sixty-three million, four hundred twenty-four thousand".