44278560 has 144 divisors (see below), whose sum is σ = 153139896. Its totient is φ = 11649024.

The previous prime is 44278541. The next prime is 44278579. The reversal of 44278560 is 6587244.

It is an interprime number because it is at equal distance from previous prime (44278541) and next prime (44278579).

It can be written as a sum of positive squares in 4 ways, for example, as 23155344 + 21123216 = 4812^2 + 4596^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139522 + ... + 139838.

Almost surely, 2^44278560 is an apocalyptic number.

44278560 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 44278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76569948).

44278560 is an abundant number, since it is smaller than the sum of its proper divisors (108861336).

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

44278560 is a wasteful number, since it uses less digits than its factorization.

44278560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 44278560 is about 6654.2137026098. The cubic root of 44278560 is about 353.7782773202.

The spelling of 44278560 in words is "forty-four million, two hundred seventy-eight thousand, five hundred sixty".