4844400 has 120 divisors (see below), whose sum is σ = 16975104. Its totient is φ = 1171200.

The previous prime is 4844387. The next prime is 4844417. The reversal of 4844400 is 44484.

4844400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2201²-1.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4844400² = 46936422720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13017 + ... + 13383.

Almost surely, 2^4844400 is an apocalyptic number.

4844400 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 4844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487552).

4844400 is an abundant number, since it is smaller than the sum of its proper divisors (12130704).

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

4844400 is a wasteful number, since it uses less digits than its factorization.

4844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4844400 is about 2200.9997728305. Note that the first 3 decimals coincide. The cubic root of 4844400 is about 169.2050543678.

Adding to 4844400 its reverse (44484), we get a palindrome (4888884).

It can be divided in two parts, 484 and 4400, that added together give a palindrome (4884).

The spelling of 4844400 in words is "four million, eight hundred forty-four thousand, four hundred".