44473968 has 240 divisors, whose sum is σ = 162846720. Its totient is φ = 11491200.

The previous prime is 44473951. The next prime is 44473969. The reversal of 44473968 is 86937444.

44473968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44473969) 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 47 ways as a sum of consecutive naturals, for example, 232753 + ... + 232943.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 2^44473968 is an apocalyptic number.

44473968 is a gapful number since it is divisible by the number (48) 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 44473968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

44473968 is an abundant number, since it is smaller than the sum of its proper divisors (118372752).

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

44473968 is a wasteful number, since it uses less digits than its factorization.

44473968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 44473968 is about 6668.8805657322. The cubic root of 44473968 is about 354.2979393482.

The spelling of 44473968 in words is "forty-four million, four hundred seventy-three thousand, nine hundred sixty-eight".