44134400 has 78 divisors (see below), whose sum is σ = 109693872. Its totient is φ = 17612800.

The previous prime is 44134399. The next prime is 44134411. The reversal of 44134400 is 443144.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 102185 + ... + 102615.

Almost surely, 2^44134400 is an apocalyptic number.

44134400 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 44134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54846936).

44134400 is an abundant number, since it is smaller than the sum of its proper divisors (65559472).

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

44134400 is an equidigital number, since it uses as much as digits as its factorization.

44134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 44134400 is about 6643.3726374485. The cubic root of 44134400 is about 353.3939218119.

Adding to 44134400 its reverse (443144), we get a palindrome (44577544).

The spelling of 44134400 in words is "forty-four million, one hundred thirty-four thousand, four hundred".