44334400 has 126 divisors (see below), whose sum is σ = 120432830. Its totient is φ = 16051200.

The previous prime is 44334383. The next prime is 44334401. The reversal of 44334400 is 443344.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10601536 + 33732864 = 3256^2 + 5808^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44334401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 193486 + ... + 193714.

Almost surely, 2^44334400 is an apocalyptic number.

44334400 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 44334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60216415).

44334400 is an abundant number, since it is smaller than the sum of its proper divisors (76098430).

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

44334400 is a wasteful number, since it uses less digits than its factorization.

44334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 44334400 is about 6658.4082181855. The cubic root of 44334400 is about 353.9269322632.

Adding to 44334400 its reverse (443344), we get a palindrome (44777744).

Multiplying 44334400 by its reverse (443344), we get a square (19655390233600 = 4433440²).

44334400 divided by its reverse (443344) gives a square (100 = 10²).

It can be divided in two parts, 443 and 34400, that added together give a palindrome (34843).

The spelling of 44334400 in words is "forty-four million, three hundred thirty-four thousand, four hundred".