4305984400 has 135 divisors (see below), whose sum is σ = 11046695961. Its totient is φ = 1612677120.

The previous prime is 4305984377. The next prime is 4305984427. The reversal of 4305984400 is 44895034.

The square root of 4305984400 is 65620.

It is a perfect power (a square), and thus also a powerful number.

4305984400 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 13 ways, for example, as 2653074064 + 1652910336 = 51508^2 + 40656^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4305984400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22310704 + ... + 22310896.

Almost surely, 2^4305984400 is an apocalyptic number.

4305984400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4305984400 is the 65620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4305984400

4305984400 is an abundant number, since it is smaller than the sum of its proper divisors (6740711561).

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

4305984400 is a wasteful number, since it uses less digits than its factorization.

4305984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The cubic root of 4305984400 is about 1626.8873565875.

The spelling of 4305984400 in words is "four billion, three hundred five million, nine hundred eighty-four thousand, four hundred".