4530457800 has 576 divisors, whose sum is σ = 17558161920. Its totient is φ = 1045440000.

The previous prime is 4530457787. The next prime is 4530457801. The reversal of 4530457800 is 87540354.

4530457800 is a `hidden beast` number, since 4 + 530 + 45 + 7 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4530457801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74269770 + ... + 74269830.

It is an arithmetic number, because the mean of its divisors is an integer number (30482920).

Almost surely, 2^4530457800 is an apocalyptic number.

4530457800 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 4530457800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779080960).

4530457800 is an abundant number, since it is smaller than the sum of its proper divisors (13027704120).

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

4530457800 is a wasteful number, since it uses less digits than its factorization.

4530457800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4530457800 is about 67308.6755180935. The cubic root of 4530457800 is about 1654.6800463381.

The spelling of 4530457800 in words is "four billion, five hundred thirty million, four hundred fifty-seven thousand, eight hundred".