4944000 has 128 divisors (see below), whose sum is σ = 16548480. Its totient is φ = 1305600.

The previous prime is 4943963. The next prime is 4944019. The reversal of 4944000 is 4494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47949 + ... + 48051.

It is an arithmetic number, because the mean of its divisors is an integer number (129285).

Almost surely, 2^4944000 is an apocalyptic number.

4944000 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 4944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8274240).

4944000 is an abundant number, since it is smaller than the sum of its proper divisors (11604480).

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

4944000 is a wasteful number, since it uses less digits than its factorization.

4944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4944000 is about 2223.5107375500. The cubic root of 4944000 is about 170.3568053799.

Adding to 4944000 its reverse (4494), we get a palindrome (4948494).

The spelling of 4944000 in words is "four million, nine hundred forty-four thousand".