44214400 has 96 divisors (see below), whose sum is σ = 112219380. Its totient is φ = 17203200.

The previous prime is 44214397. The next prime is 44214407. The reversal of 44214400 is 441244.

It can be written as a sum of positive squares in 6 ways, for example, as 2534464 + 41679936 = 1592^2 + 6456^2 .

It is not an unprimeable number, because it can be changed into a prime (44214407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131032 + ... + 131368.

Almost surely, 2^44214400 is an apocalyptic number.

44214400 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 44214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56109690).

44214400 is an abundant number, since it is smaller than the sum of its proper divisors (68004980).

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

44214400 is a wasteful number, since it uses less digits than its factorization.

44214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 44214400 is about 6649.3909495532. The cubic root of 44214400 is about 353.6073188360.

Adding to 44214400 its reverse (441244), we get a palindrome (44655644).

The spelling of 44214400 in words is "forty-four million, two hundred fourteen thousand, four hundred".