44404400 has 60 divisors (see below), whose sum is σ = 110153664. Its totient is φ = 17184000.

The previous prime is 44404397. The next prime is 44404417. The reversal of 44404400 is 440444.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10610 + ... + 14190.

Almost surely, 2^44404400 is an apocalyptic number.

44404400 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 44404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55076832).

44404400 is an abundant number, since it is smaller than the sum of its proper divisors (65749264).

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

44404400 is a wasteful number, since it uses less digits than its factorization.

44404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 44404400 is about 6663.6626565276. The cubic root of 44404400 is about 354.1131071641.

Adding to 44404400 its reverse (440444), we get a palindrome (44844844).

The spelling of 44404400 in words is "forty-four million, four hundred four thousand, four hundred".