44079400 has 48 divisors (see below), whose sum is σ = 102923100. Its totient is φ = 17556480.

The previous prime is 44079383. The next prime is 44079401. The reversal of 44079400 is 497044.

It can be written as a sum of positive squares in 6 ways, for example, as 13675204 + 30404196 = 3698^2 + 5514^2 .

It is not an unprimeable number, because it can be changed into a prime (44079401) 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, 86346 + ... + 86854.

Almost surely, 2^44079400 is an apocalyptic number.

44079400 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 44079400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51461550).

44079400 is an abundant number, since it is smaller than the sum of its proper divisors (58843700).

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

44079400 is a wasteful number, since it uses less digits than its factorization.

44079400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 44079400 is about 6639.2318832829. The cubic root of 44079400 is about 353.2470617267.

The spelling of 44079400 in words is "forty-four million, seventy-nine thousand, four hundred".