44008000 has 56 divisors (see below), whose sum is σ = 109005624. Its totient is φ = 17600000.

The previous prime is 44007979. The next prime is 44008031. The reversal of 44008000 is 80044.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 43454464 = 744^2 + 6592^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5250 + ... + 10750.

It is an arithmetic number, because the mean of its divisors is an integer number (1946529).

Almost surely, 2^44008000 is an apocalyptic number.

44008000 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 44008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54502812).

44008000 is an abundant number, since it is smaller than the sum of its proper divisors (64997624).

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

44008000 is an equidigital number, since it uses as much as digits as its factorization.

44008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 44008000 is about 6633.8525759923. The cubic root of 44008000 is about 353.0562282865.

Adding to 44008000 its reverse (80044), we get a palindrome (44088044).

It can be divided in two parts, 4 and 4008000, that added together give a palindrome (4008004).

The spelling of 44008000 in words is "forty-four million, eight thousand".