44249400 has 288 divisors, whose sum is σ = 167905920. Its totient is φ = 10368000.

The previous prime is 44249383. The next prime is 44249407. The reversal of 44249400 is 494244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44249407) 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 71 ways as a sum of consecutive naturals, for example, 725370 + ... + 725430.

Almost surely, 2^44249400 is an apocalyptic number.

44249400 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 44249400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83952960).

44249400 is an abundant number, since it is smaller than the sum of its proper divisors (123656520).

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

44249400 is a wasteful number, since it uses less digits than its factorization.

44249400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 44249400 is about 6652.0222489105. The cubic root of 44249400 is about 353.7005990940.

It can be divided in two parts, 4424 and 9400, that added together give a cube (13824 = 24³).

The spelling of 44249400 in words is "forty-four million, two hundred forty-nine thousand, four hundred".