45044120 has 64 divisors (see below), whose sum is σ = 115395840. Its totient is φ = 15664000.

The previous prime is 45044119. The next prime is 45044123. The reversal of 45044120 is 2144054.

45044120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45044092 and 45044101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45044123) 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 15 ways as a sum of consecutive naturals, for example, 7895 + ... + 12345.

It is an arithmetic number, because the mean of its divisors is an integer number (1803060).

Almost surely, 2^45044120 is an apocalyptic number.

45044120 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 45044120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57697920).

45044120 is an abundant number, since it is smaller than the sum of its proper divisors (70351720).

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

45044120 is a wasteful number, since it uses less digits than its factorization.

45044120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 45044120 is about 6711.4916374827. The cubic root of 45044120 is about 355.8055370219.

Adding to 45044120 its reverse (2144054), we get a palindrome (47188174).

The spelling of 45044120 in words is "forty-five million, forty-four thousand, one hundred twenty".