44002000 has 120 divisors (see below), whose sum is σ = 124043400. Its totient is φ = 15052800.

The previous prime is 44001977. The next prime is 44002009. The reversal of 44002000 is 20044.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 42928704 = 1036^2 + 6552^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44002009) 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, 97776 + ... + 98224.

It is an arithmetic number, because the mean of its divisors is an integer number (1033695).

Almost surely, 2^44002000 is an apocalyptic number.

44002000 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 44002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62021700).

44002000 is an abundant number, since it is smaller than the sum of its proper divisors (80041400).

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

44002000 is a wasteful number, since it uses less digits than its factorization.

44002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 44002000 is about 6633.4003346700. The cubic root of 44002000 is about 353.0401824642.

Adding to 44002000 its reverse (20044), we get a palindrome (44022044).

It can be divided in two parts, 4400 and 2000, that added together give a square (6400 = 80²).

The spelling of 44002000 in words is "forty-four million, two thousand", and thus it is an eban number.