44840800 has 72 divisors (see below), whose sum is σ = 114273936. Its totient is φ = 17149440.

The previous prime is 44840797. The next prime is 44840801. The reversal of 44840800 is 804844.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44840801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17182 + ... + 19618.

It is an arithmetic number, because the mean of its divisors is an integer number (1587138).

Almost surely, 2^44840800 is an apocalyptic number.

44840800 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 44840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57136968).

44840800 is an abundant number, since it is smaller than the sum of its proper divisors (69433136).

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

44840800 is a wasteful number, since it uses less digits than its factorization.

44840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 44840800 is about 6696.3273516160. The cubic root of 44840800 is about 355.2693848980.

The spelling of 44840800 in words is "forty-four million, eight hundred forty thousand, eight hundred".