4531864800 has 576 divisors, whose sum is σ = 16873920000. Its totient is φ = 1050255360.

The previous prime is 4531864793. The next prime is 4531864801. The reversal of 4531864800 is 84681354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4531864801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30415126 + ... + 30415274.

It is an arithmetic number, because the mean of its divisors is an integer number (29295000).

Almost surely, 2^4531864800 is an apocalyptic number.

4531864800 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 4531864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960000).

4531864800 is an abundant number, since it is smaller than the sum of its proper divisors (12342055200).

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

4531864800 is a wasteful number, since it uses less digits than its factorization.

4531864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4531864800 is about 67319.1265540485. The cubic root of 4531864800 is about 1654.8513236466.

The spelling of 4531864800 in words is "four billion, five hundred thirty-one million, eight hundred sixty-four thousand, eight hundred".