4575225600 has 864 divisors, whose sum is σ = 19161273600. Its totient is φ = 1057996800.

The previous prime is 4575225553. The next prime is 4575225601. The reversal of 4575225600 is 65225754.

4575225600 is a `hidden beast` number, since 4 + 5 + 75 + 22 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4575225601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 55123159 + ... + 55123241.

It is an arithmetic number, because the mean of its divisors is an integer number (22177400).

Almost surely, 2^4575225600 is an apocalyptic number.

4575225600 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 4575225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580636800).

4575225600 is an abundant number, since it is smaller than the sum of its proper divisors (14586048000).

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

4575225600 is a wasteful number, since it uses less digits than its factorization.

4575225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 4575225600 is about 67640.4139549722. The cubic root of 4575225600 is about 1660.1124421826.

The spelling of 4575225600 in words is "four billion, five hundred seventy-five million, two hundred twenty-five thousand, six hundred".