4531852800 has 720 divisors, whose sum is σ = 17730865152. Its totient is φ = 1144627200.

The previous prime is 4531852799. The next prime is 4531852807. The reversal of 4531852800 is 82581354.

It is a happy number.

4531852800 is a `hidden beast` number, since 453 + 185 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (4531852807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96422377 + ... + 96422423.

Almost surely, 2^4531852800 is an apocalyptic number.

4531852800 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 4531852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8865432576).

4531852800 is an abundant number, since it is smaller than the sum of its proper divisors (13199012352).

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

4531852800 is an equidigital number, since it uses as much as digits as its factorization.

4531852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4531852800 is about 67319.0374262734. The cubic root of 4531852800 is about 1654.8498630093.

The spelling of 4531852800 in words is "four billion, five hundred thirty-one million, eight hundred fifty-two thousand, eight hundred".