44406880 has 96 divisors (see below), whose sum is σ = 123863040. Its totient is φ = 14722560.

The previous prime is 44406847. The next prime is 44406883. The reversal of 44406880 is 8860444.

44406880 is nontrivially palindromic in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44406883) 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, 34081 + ... + 35359.

It is an arithmetic number, because the mean of its divisors is an integer number (1290240).

Almost surely, 2^44406880 is an apocalyptic number.

44406880 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 44406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61931520).

44406880 is an abundant number, since it is smaller than the sum of its proper divisors (79456160).

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

44406880 is a wasteful number, since it uses less digits than its factorization.

44406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 44406880 is about 6663.8487377791. The cubic root of 44406880 is about 354.1196994850.

The spelling of 44406880 in words is "forty-four million, four hundred six thousand, eight hundred eighty".