4944389400 has 288 divisors, whose sum is σ = 17158901760. Its totient is φ = 1275160320.

The previous prime is 4944389389. The next prime is 4944389407. The reversal of 4944389400 is 49834494.

4944389400 is a `hidden beast` number, since 494 + 43 + 89 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4944389407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9829549 + ... + 9830051.

It is an arithmetic number, because the mean of its divisors is an integer number (59579520).

Almost surely, 2^4944389400 is an apocalyptic number.

4944389400 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 4944389400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579450880).

4944389400 is an abundant number, since it is smaller than the sum of its proper divisors (12214512360).

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

4944389400 is a wasteful number, since it uses less digits than its factorization.

4944389400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4944389400 is about 70316.3522944699. The cubic root of 4944389400 is about 1703.6127781774.

The spelling of 4944389400 in words is "four billion, nine hundred forty-four million, three hundred eighty-nine thousand, four hundred".