43968800 has 144 divisors (see below), whose sum is σ = 117695592. Its totient is φ = 15974400.

The previous prime is 43968781. The next prime is 43968803. The reversal of 43968800 is 886934.

It can be written as a sum of positive squares in 12 ways, for example, as 1926544 + 42042256 = 1388^2 + 6484^2 .

It is not an unprimeable number, because it can be changed into a prime (43968803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720770 + ... + 720830.

Almost surely, 2^43968800 is an apocalyptic number.

43968800 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 43968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58847796).

43968800 is an abundant number, since it is smaller than the sum of its proper divisors (73726792).

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

43968800 is a wasteful number, since it uses less digits than its factorization.

43968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 43968800 is about 6630.8973751673. The cubic root of 43968800 is about 352.9513692045.

The spelling of 43968800 in words is "forty-three million, nine hundred sixty-eight thousand, eight hundred".