44484000 has 192 divisors, whose sum is σ = 159449472. Its totient is φ = 10752000.

The previous prime is 44483981. The next prime is 44484017. The reversal of 44484000 is 48444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131832 + ... + 132168.

It is an arithmetic number, because the mean of its divisors is an integer number (830466).

Almost surely, 2^44484000 is an apocalyptic number.

44484000 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 44484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79724736).

44484000 is an abundant number, since it is smaller than the sum of its proper divisors (114965472).

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

44484000 is a wasteful number, since it uses less digits than its factorization.

44484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 44484000 is about 6669.6326735436. The cubic root of 44484000 is about 354.3245770262.

Subtracting from 44484000 its reverse (48444), we obtain a square (44435556 = 6666²).

It can be divided in two parts, 4448 and 4000, that added together give a palindrome (8448).

The spelling of 44484000 in words is "forty-four million, four hundred eighty-four thousand".