44402400 has 216 divisors, whose sum is σ = 179144784. Its totient is φ = 10137600.

The previous prime is 44402383. The next prime is 44402401. The reversal of 44402400 is 420444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44402401) 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 35 ways as a sum of consecutive naturals, for example, 49960 + ... + 50840.

It is an arithmetic number, because the mean of its divisors is an integer number (829374).

Almost surely, 2^44402400 is an apocalyptic number.

44402400 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 44402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89572392).

44402400 is an abundant number, since it is smaller than the sum of its proper divisors (134742384).

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

44402400 is a wasteful number, since it uses less digits than its factorization.

44402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 44402400 is about 6663.5125872170. The cubic root of 44402400 is about 354.1077905976.

Adding to 44402400 its reverse (420444), we get a palindrome (44822844).

The spelling of 44402400 in words is "forty-four million, four hundred two thousand, four hundred".