44434400 has 72 divisors (see below), whose sum is σ = 110227320. Its totient is φ = 17487360.

The previous prime is 44434381. The next prime is 44434441. The reversal of 44434400 is 443444.

It is a congruent number.

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, 53186 + ... + 54014.

It is an arithmetic number, because the mean of its divisors is an integer number (1530935).

Almost surely, 2^44434400 is an apocalyptic number.

44434400 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 44434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55113660).

44434400 is an abundant number, since it is smaller than the sum of its proper divisors (65792920).

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

44434400 is a wasteful number, since it uses less digits than its factorization.

44434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 44434400 is about 6665.9132907652. The cubic root of 44434400 is about 354.1928365130.

Adding to 44434400 its reverse (443444), we get a palindrome (44877844).

The spelling of 44434400 in words is "forty-four million, four hundred thirty-four thousand, four hundred".