4423046400 has 324 divisors, whose sum is σ = 16747295292. Its totient is φ = 1109852160.

The previous prime is 4423046387. The next prime is 4423046429. The reversal of 4423046400 is 46403244.

It can be written as a sum of positive squares in 6 ways, for example, as 535274496 + 3887771904 = 23136^2 + 62352^2 .

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 35 ways as a sum of consecutive naturals, for example, 976942 + ... + 981458.

It is an arithmetic number, because the mean of its divisors is an integer number (51689183).

Almost surely, 2^4423046400 is an apocalyptic number.

4423046400 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 4423046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8373647646).

4423046400 is an abundant number, since it is smaller than the sum of its proper divisors (12324248892).

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

4423046400 is a wasteful number, since it uses less digits than its factorization.

4423046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4544 counting only the distinct ones).

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

The square root of 4423046400 is about 66505.9877003567. The cubic root of 4423046400 is about 1641.4985311700.

Adding to 4423046400 its reverse (46403244), we get a palindrome (4469449644).

The spelling of 4423046400 in words is "four billion, four hundred twenty-three million, forty-six thousand, four hundred".