4835600 has 120 divisors (see below), whose sum is σ = 14576448. Its totient is φ = 1497600.

The previous prime is 4835573. The next prime is 4835617. The reversal of 4835600 is 65384.

It is a Cunningham number, because it is equal to 2199²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 4835600.

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, 30722 + ... + 30878.

Almost surely, 2^4835600 is an apocalyptic number.

4835600 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 4835600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288224).

4835600 is an abundant number, since it is smaller than the sum of its proper divisors (9740848).

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

4835600 is a wasteful number, since it uses less digits than its factorization.

4835600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4835600 is about 2198.9997726239. Note that the first 3 decimals coincide. The cubic root of 4835600 is about 169.1025368908.

The spelling of 4835600 in words is "four million, eight hundred thirty-five thousand, six hundred".