44122500 has 180 divisors, whose sum is σ = 145837692. Its totient is φ = 11232000.

The previous prime is 44122493. The next prime is 44122513. The reversal of 44122500 is 522144.

44122500 is a `hidden beast` number, since 4 + 412 + 250 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 19501056 + 24621444 = 4416^2 + 4962^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 832474 + ... + 832526.

Almost surely, 2^44122500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44122500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72918846).

44122500 is an abundant number, since it is smaller than the sum of its proper divisors (101715192).

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

44122500 is a wasteful number, since it uses less digits than its factorization.

44122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

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

The square root of 44122500 is about 6642.4769476454. The cubic root of 44122500 is about 353.3621569777.

Adding to 44122500 its reverse (522144), we get a palindrome (44644644).

It can be divided in two parts, 441 and 22500, that multiplied together give a square (9922500 = 3150²).

The spelling of 44122500 in words is "forty-four million, one hundred twenty-two thousand, five hundred".