44325920 has 96 divisors (see below), whose sum is σ = 111449520. Its totient is φ = 16629760.

The previous prime is 44325913. The next prime is 44325923. The reversal of 44325920 is 2952344.

It can be written as a sum of positive squares in 8 ways, for example, as 3519376 + 40806544 = 1876^2 + 6388^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (44325923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190124 + ... + 190356.

Almost surely, 2^44325920 is an apocalyptic number.

44325920 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 44325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55724760).

44325920 is an abundant number, since it is smaller than the sum of its proper divisors (67123600).

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

44325920 is a wasteful number, since it uses less digits than its factorization.

44325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 44325920 is about 6657.7713988992. The cubic root of 44325920 is about 353.9043651989.

The spelling of 44325920 in words is "forty-four million, three hundred twenty-five thousand, nine hundred twenty".