4530724800 has 672 divisors, whose sum is σ = 18383585280. Its totient is φ = 953856000.

The previous prime is 4530724729. The next prime is 4530724837. The reversal of 4530724800 is 84270354.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 30004725 + ... + 30004875.

Almost surely, 2^4530724800 is an apocalyptic number.

4530724800 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 4530724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9191792640).

4530724800 is an abundant number, since it is smaller than the sum of its proper divisors (13852860480).

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

4530724800 is a wasteful number, since it uses less digits than its factorization.

4530724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 4530724800 is about 67310.6588884703. The cubic root of 4530724800 is about 1654.7125515810.

It can be divided in two parts, 45307 and 24800, that added together give a palindrome (70107).

The spelling of 4530724800 in words is "four billion, five hundred thirty million, seven hundred twenty-four thousand, eight hundred".