44444960 has 72 divisors (see below), whose sum is σ = 122165820. Its totient is φ = 15235584.

The previous prime is 44444941. The next prime is 44444963. The reversal of 44444960 is 6944444.

It can be written as a sum of positive squares in 2 ways, for example, as 42562576 + 1882384 = 6524^2 + 1372^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 44444960.

It is not an unprimeable number, because it can be changed into a prime (44444963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5006 + ... + 10674.

Almost surely, 2^44444960 is an apocalyptic number.

44444960 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 44444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61082910).

44444960 is an abundant number, since it is smaller than the sum of its proper divisors (77720860).

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

44444960 is a wasteful number, since it uses less digits than its factorization.

44444960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 44444960 is about 6666.7053332212. The cubic root of 44444960 is about 354.2208927044.

The spelling of 44444960 in words is "forty-four million, four hundred forty-four thousand, nine hundred sixty".