4809600 has 144 divisors (see below), whose sum is σ = 17264520. Its totient is φ = 1274880.

The previous prime is 4809583. The next prime is 4809643. The reversal of 4809600 is 69084.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×4809600³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28717 + ... + 28883.

Almost surely, 2^4809600 is an apocalyptic number.

4809600 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 4809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632260).

4809600 is an abundant number, since it is smaller than the sum of its proper divisors (12454920).

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

4809600 is a wasteful number, since it uses less digits than its factorization.

4809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4809600 is about 2193.0800258996. The cubic root of 4809600 is about 168.7989158605.

The spelling of 4809600 in words is "four million, eight hundred nine thousand, six hundred".