44250120 has 96 divisors (see below), whose sum is σ = 145356120. Its totient is φ = 11673600.

The previous prime is 44250103. The next prime is 44250121. The reversal of 44250120 is 2105244.

It can be written as a sum of positive squares in 4 ways, for example, as 41447844 + 2802276 = 6438^2 + 1674^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44250093 and 44250102.

It is not an unprimeable number, because it can be changed into a prime (44250121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35752 + ... + 36968.

Almost surely, 2^44250120 is an apocalyptic number.

44250120 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 44250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72678060).

44250120 is an abundant number, since it is smaller than the sum of its proper divisors (101106000).

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

44250120 is a wasteful number, since it uses less digits than its factorization.

44250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 44250120 is about 6652.0763675713. The cubic root of 44250120 is about 353.7025174858.

Adding to 44250120 its reverse (2105244), we get a palindrome (46355364).

The spelling of 44250120 in words is "forty-four million, two hundred fifty thousand, one hundred twenty".