44053120 has 64 divisors (see below), whose sum is σ = 111537000. Its totient is φ = 16580608.

The previous prime is 44053109. The next prime is 44053159. The reversal of 44053120 is 2135044.

It can be written as a sum of positive squares in 4 ways, for example, as 35712576 + 8340544 = 5976^2 + 2888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 8856 + ... + 12904.

Almost surely, 2^44053120 is an apocalyptic number.

44053120 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 44053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55768500).

44053120 is an abundant number, since it is smaller than the sum of its proper divisors (67483880).

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

44053120 is a wasteful number, since it uses less digits than its factorization.

44053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 44053120 is about 6637.2524435944. The cubic root of 44053120 is about 353.1768461740.

Adding to 44053120 its reverse (2135044), we get a palindrome (46188164).

The spelling of 44053120 in words is "forty-four million, fifty-three thousand, one hundred twenty".