44484160 has 84 divisors (see below), whose sum is σ = 123265692. Its totient is φ = 15246336.

The previous prime is 44484151. The next prime is 44484169. The reversal of 44484160 is 6148444.

It is an interprime number because it is at equal distance from previous prime (44484151) and next prime (44484169).

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 37258816 = 2688^2 + 6104^2 .

It is not an unprimeable number, because it can be changed into a prime (44484169) 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, 14262 + ... + 17098.

Almost surely, 2^44484160 is an apocalyptic number.

44484160 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 44484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61632846).

44484160 is an abundant number, since it is smaller than the sum of its proper divisors (78781532).

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

44484160 is a wasteful number, since it uses less digits than its factorization.

44484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 44484160 is about 6669.6446681964. The cubic root of 44484160 is about 354.3250018371.

It can be divided in two parts, 44484 and 160, that added together give a palindrome (44644).

The spelling of 44484160 in words is "forty-four million, four hundred eighty-four thousand, one hundred sixty".