44340800 has 168 divisors, whose sum is σ = 129259584. Its totient is φ = 14653440.

The previous prime is 44340781. The next prime is 44340809. The reversal of 44340800 is 804344.

It is a super-2 number, since 2×44340800² = 3932213089280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44340809) 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, 414347 + ... + 414453.

Almost surely, 2^44340800 is an apocalyptic number.

44340800 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 44340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64629792).

44340800 is an abundant number, since it is smaller than the sum of its proper divisors (84918784).

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

44340800 is a wasteful number, since it uses less digits than its factorization.

44340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 44340800 is about 6658.8887961881. Note that the first 3 decimals coincide. The cubic root of 44340800 is about 353.9439621044.

The spelling of 44340800 in words is "forty-four million, three hundred forty thousand, eight hundred".