4889600 has 66 divisors (see below), whose sum is σ = 12183744. Its totient is φ = 1945600.

The previous prime is 4889567. The next prime is 4889609. The reversal of 4889600 is 69884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4889609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25505 + ... + 25695.

Almost surely, 2^4889600 is an apocalyptic number.

4889600 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 4889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091872).

4889600 is an abundant number, since it is smaller than the sum of its proper divisors (7294144).

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

4889600 is a wasteful number, since it uses less digits than its factorization.

4889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 4889600 is about 2211.2439937736. The cubic root of 4889600 is about 169.7296741749.

The spelling of 4889600 in words is "four million, eight hundred eighty-nine thousand, six hundred".