4553322400 has 288 divisors, whose sum is σ = 12621692160. Its totient is φ = 1589760000.

The previous prime is 4553322373. The next prime is 4553322401. The reversal of 4553322400 is 42233554.

It is not an unprimeable number, because it can be changed into a prime (4553322401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41773546 + ... + 41773654.

It is an arithmetic number, because the mean of its divisors is an integer number (43825320).

Almost surely, 2^4553322400 is an apocalyptic number.

4553322400 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 4553322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310846080).

4553322400 is an abundant number, since it is smaller than the sum of its proper divisors (8068369760).

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

4553322400 is a wasteful number, since it uses less digits than its factorization.

4553322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 4553322400 is about 67478.3105894035. The cubic root of 4553322400 is about 1657.4590243808.

Adding to 4553322400 its reverse (42233554), we get a palindrome (4595555954).

The spelling of 4553322400 in words is "four billion, five hundred fifty-three million, three hundred twenty-two thousand, four hundred".