44426800 has 120 divisors (see below), whose sum is σ = 121777920. Its totient is φ = 15417600.

The previous prime is 44426779. The next prime is 44426801. The reversal of 44426800 is 862444.

It is not an unprimeable number, because it can be changed into a prime (44426801) 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, 100981 + ... + 101419.

It is an arithmetic number, because the mean of its divisors is an integer number (1014816).

Almost surely, 2^44426800 is an apocalyptic number.

44426800 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 44426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60888960).

44426800 is an abundant number, since it is smaller than the sum of its proper divisors (77351120).

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

44426800 is a wasteful number, since it uses less digits than its factorization.

44426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 44426800 is about 6665.3432019664. The cubic root of 44426800 is about 354.1726418062.

The spelling of 44426800 in words is "forty-four million, four hundred twenty-six thousand, eight hundred".