44449920 has 96 divisors (see below), whose sum is σ = 153511020. Its totient is φ = 11851776.

The previous prime is 44449901. The next prime is 44449927. The reversal of 44449920 is 2994444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44195904 + 254016 = 6648^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44449927) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1902 + ... + 9618.

Almost surely, 2^44449920 is an apocalyptic number.

44449920 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 44449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76755510).

44449920 is an abundant number, since it is smaller than the sum of its proper divisors (109061100).

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

44449920 is a wasteful number, since it uses less digits than its factorization.

44449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7742 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 44449920 is about 6667.0773206856. The cubic root of 44449920 is about 354.2340690786.

It can be divided in two parts, 44449 and 920, that added together give a square (45369 = 213²).

The spelling of 44449920 in words is "forty-four million, four hundred forty-nine thousand, nine hundred twenty".