44314400 has 72 divisors (see below), whose sum is σ = 116531604. Its totient is φ = 16358400.

The previous prime is 44314397. The next prime is 44314409. The reversal of 44314400 is 441344.

It can be written as a sum of positive squares in 6 ways, for example, as 20539024 + 23775376 = 4532^2 + 4876^2 .

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

It is not an unprimeable number, because it can be changed into a prime (44314409) 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, 8270 + ... + 12530.

Almost surely, 2^44314400 is an apocalyptic number.

44314400 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 44314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58265802).

44314400 is an abundant number, since it is smaller than the sum of its proper divisors (72217204).

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

44314400 is a wasteful number, since it uses less digits than its factorization.

44314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 44314400 is about 6656.9061883130. The cubic root of 44314400 is about 353.8737034437.

Adding to 44314400 its reverse (441344), we get a palindrome (44755744).

The spelling of 44314400 in words is "forty-four million, three hundred fourteen thousand, four hundred".