44375400 has 144 divisors (see below), whose sum is σ = 151245900. Its totient is φ = 11658240.

The previous prime is 44375381. The next prime is 44375413. The reversal of 44375400 is 457344.

It can be written as a sum of positive squares in 6 ways, for example, as 3849444 + 40525956 = 1962^2 + 6366^2 .

It is a super-2 number, since 2×44375400² = 3938352250320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160062 + ... + 160338.

Almost surely, 2^44375400 is an apocalyptic number.

44375400 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 44375400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75622950).

44375400 is an abundant number, since it is smaller than the sum of its proper divisors (106870500).

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

44375400 is a wasteful number, since it uses less digits than its factorization.

44375400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 44375400 is about 6661.4863206345. The cubic root of 44375400 is about 354.0360013180.

The spelling of 44375400 in words is "forty-four million, three hundred seventy-five thousand, four hundred".