47444000 has 96 divisors (see below), whose sum is σ = 120884400. Its totient is φ = 18278400.

The previous prime is 47443997. The next prime is 47444017. The reversal of 47444000 is 44474.

It can be written as a sum of positive squares in 8 ways, for example, as 8456464 + 38987536 = 2908^2 + 6244^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115796 + ... + 116204.

Almost surely, 2^47444000 is an apocalyptic number.

47444000 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 47444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60442200).

47444000 is an abundant number, since it is smaller than the sum of its proper divisors (73440400).

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

47444000 is a wasteful number, since it uses less digits than its factorization.

47444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 47444000 is about 6887.9605109205. The cubic root of 47444000 is about 362.0154445350.

Adding to 47444000 its reverse (44474), we get a palindrome (47488474).

The spelling of 47444000 in words is "forty-seven million, four hundred forty-four thousand".