44113600 has 84 divisors (see below), whose sum is σ = 110236000. Its totient is φ = 17372160.

The previous prime is 44113547. The next prime is 44113621. The reversal of 44113600 is 631144.

It is a happy 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, 126226 + ... + 126574.

Almost surely, 2^44113600 is an apocalyptic number.

44113600 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 44113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55118000).

44113600 is an abundant number, since it is smaller than the sum of its proper divisors (66122400).

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

44113600 is a wasteful number, since it uses less digits than its factorization.

44113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 44113600 is about 6641.8069830431. The cubic root of 44113600 is about 353.3383963516.

Adding to 44113600 its reverse (631144), we get a palindrome (44744744).

It can be divided in two parts, 441 and 13600, that added together give a palindrome (14041).

The spelling of 44113600 in words is "forty-four million, one hundred thirteen thousand, six hundred".