44138400 has 144 divisors (see below), whose sum is σ = 146803104. Its totient is φ = 11514880.

The previous prime is 44138383. The next prime is 44138401. The reversal of 44138400 is 483144.

44138400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×44138400³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44138401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 127027 + ... + 127373.

It is an arithmetic number, because the mean of its divisors is an integer number (1019466).

Almost surely, 2^44138400 is an apocalyptic number.

44138400 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 44138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73401552).

44138400 is an abundant number, since it is smaller than the sum of its proper divisors (102664704).

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

44138400 is a wasteful number, since it uses less digits than its factorization.

44138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 44138400 is about 6643.6736825344. The cubic root of 44138400 is about 353.4045977849.

The spelling of 44138400 in words is "forty-four million, one hundred thirty-eight thousand, four hundred".