44106400 has 72 divisors (see below), whose sum is σ = 115984764. Its totient is φ = 16281600.

The previous prime is 44106379. The next prime is 44106421. The reversal of 44106400 is 460144.

It is an interprime number because it is at equal distance from previous prime (44106379) and next prime (44106421).

It can be written as a sum of positive squares in 6 ways, for example, as 21790224 + 22316176 = 4668^2 + 4724^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8280 + ... + 12520.

Almost surely, 2^44106400 is an apocalyptic number.

44106400 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 44106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57992382).

44106400 is an abundant number, since it is smaller than the sum of its proper divisors (71878364).

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

44106400 is a wasteful number, since it uses less digits than its factorization.

44106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 44106400 is about 6641.2649397536. The cubic root of 44106400 is about 353.3191719335.

Adding to 44106400 its reverse (460144), we get a palindrome (44566544).

The spelling of 44106400 in words is "forty-four million, one hundred six thousand, four hundred".