4530422400 has 288 divisors, whose sum is σ = 17360138880. Its totient is φ = 1035417600.

The previous prime is 4530422381. The next prime is 4530422417. The reversal of 4530422400 is 42240354.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 465585 + ... + 475215.

It is an arithmetic number, because the mean of its divisors is an integer number (60278260).

Almost surely, 2^4530422400 is an apocalyptic number.

4530422400 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 4530422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680069440).

4530422400 is an abundant number, since it is smaller than the sum of its proper divisors (12829716480).

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

4530422400 is a wasteful number, since it uses less digits than its factorization.

4530422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4530422400 is about 67308.4125499926. The cubic root of 4530422400 is about 1654.6757365584.

Adding to 4530422400 its reverse (42240354), we get a palindrome (4572662754).

The spelling of 4530422400 in words is "four billion, five hundred thirty million, four hundred twenty-two thousand, four hundred".