4305052800 has 480 divisors, whose sum is σ = 16838314020. Its totient is φ = 1079377920.

The previous prime is 4305052799. The next prime is 4305052811. The reversal of 4305052800 is 82505034.

It can be written as a sum of positive squares in 6 ways, for example, as 3259953216 + 1045099584 = 57096^2 + 32328^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4305052800² = 37066959221575680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4405912 + ... + 4406888.

Almost surely, 2^4305052800 is an apocalyptic number.

4305052800 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 4305052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8419157010).

4305052800 is an abundant number, since it is smaller than the sum of its proper divisors (12533261220).

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

4305052800 is a wasteful number, since it uses less digits than its factorization.

4305052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4305052800 is about 65612.9011704253. The cubic root of 4305052800 is about 1626.7700223975.

Adding to 4305052800 its reverse (82505034), we get a palindrome (4387557834).

The spelling of 4305052800 in words is "four billion, three hundred five million, fifty-two thousand, eight hundred".