44004000 has 192 divisors, whose sum is σ = 152530560. Its totient is φ = 11059200.

The previous prime is 44003977. The next prime is 44004013. The reversal of 44004000 is 40044.

44004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227904 + ... + 228096.

It is an arithmetic number, because the mean of its divisors is an integer number (794430).

Almost surely, 2^44004000 is an apocalyptic number.

44004000 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 44004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76265280).

44004000 is an abundant number, since it is smaller than the sum of its proper divisors (108526560).

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

44004000 is a wasteful number, since it uses less digits than its factorization.

44004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 44004000 is about 6633.5510852032. The cubic root of 44004000 is about 353.0455312337.

Adding to 44004000 its reverse (40044), we get a palindrome (44044044).

It can be divided in two parts, 4 and 4004000, that added together give a palindrome (4004004).

The spelling of 44004000 in words is "forty-four million, four thousand", and thus it is an eban number.