44088480 has 144 divisors (see below), whose sum is σ = 159390504. Its totient is φ = 11059200.

The previous prime is 44088469. The next prime is 44088487. The reversal of 44088480 is 8488044.

It can be written as a sum of positive squares in 4 ways, for example, as 33039504 + 11048976 = 5748^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (44088487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23580 + ... + 25380.

Almost surely, 2^44088480 is an apocalyptic number.

44088480 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 44088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79695252).

44088480 is an abundant number, since it is smaller than the sum of its proper divisors (115302024).

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

44088480 is a wasteful number, since it uses less digits than its factorization.

44088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 44088480 is about 6639.9156621150. The cubic root of 44088480 is about 353.2713154076.

It can be divided in two parts, 4 and 4088480, that added together give a square (4088484 = 2022²).

The spelling of 44088480 in words is "forty-four million, eighty-eight thousand, four hundred eighty".