44240 has 40 divisors (see below), whose sum is σ = 119040. Its totient is φ = 14976.

The previous prime is 44221. The next prime is 44249. The reversal of 44240 is 4244.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44249) 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 7 ways as a sum of consecutive naturals, for example, 521 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

2^{44240} is an apocalyptic number.

44240 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 44240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520).

44240 is an abundant number, since it is smaller than the sum of its proper divisors (74800).

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

44240 is a wasteful number, since it uses less digits than its factorization.

44240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 44240 is about 210.3330692022. Note that the first 3 decimals coincide. The cubic root of 44240 is about 35.3675551515.

44240 divided by its sum of digits (14) gives a triangular number (3160 = T_{79}).

Adding to 44240 its reverse (4244), we get a palindrome (48484).

The spelling of 44240 in words is "forty-four thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 395 553 560 632 790 1106 1264 1580 2212 2765 3160 4424 5530 6320 8848 11060 22120 44240

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