44340400 has 60 divisors (see below), whose sum is σ = 114735712. Its totient is φ = 16369920.

The previous prime is 44340379. The next prime is 44340407. The reversal of 44340400 is 404344.

It is a super-3 number, since 3×44340400³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44340407) 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, 937 + ... + 9463.

Almost surely, 2^44340400 is an apocalyptic number.

44340400 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 44340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57367856).

44340400 is an abundant number, since it is smaller than the sum of its proper divisors (70395312).

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

44340400 is a wasteful number, since it uses less digits than its factorization.

44340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 44340400 is about 6658.8587610791. The cubic root of 44340400 is about 353.9428977874.

Adding to 44340400 its reverse (404344), we get a palindrome (44744744).

The spelling of 44340400 in words is "forty-four million, three hundred forty thousand, four hundred".