44138520 has 192 divisors, whose sum is σ = 157248000. Its totient is φ = 11104128.

The previous prime is 44138489. The next prime is 44138527. The reversal of 44138520 is 2583144.

44138520 is a `hidden beast` number, since 4 + 4 + 138 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44138527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184561 + ... + 184799.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 2^44138520 is an apocalyptic number.

44138520 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 44138520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

44138520 is an abundant number, since it is smaller than the sum of its proper divisors (113109480).

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

44138520 is a wasteful number, since it uses less digits than its factorization.

44138520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 44138520 is about 6643.6827136762. The cubic root of 44138520 is about 353.4049180541.

The spelling of 44138520 in words is "forty-four million, one hundred thirty-eight thousand, five hundred twenty".