4580452800 has 1344 divisors, whose sum is σ = 22314286080. Its totient is φ = 895795200.

The previous prime is 4580452769. The next prime is 4580452819. The reversal of 4580452800 is 82540854.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 269438392 + ... + 269438408.

Almost surely, 2^4580452800 is an apocalyptic number.

4580452800 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 4580452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11157143040).

4580452800 is an abundant number, since it is smaller than the sum of its proper divisors (17733833280).

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

4580452800 is a wasteful number, since it uses less digits than its factorization.

4580452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 4580452800 is about 67679.0425464191. The cubic root of 4580452800 is about 1660.7444282919.

The spelling of 4580452800 in words is "four billion, five hundred eighty million, four hundred fifty-two thousand, eight hundred".