4813600 has 72 divisors (see below), whose sum is σ = 12842928. Its totient is φ = 1747200.

The previous prime is 4813597. The next prime is 4813607. The reversal of 4813600 is 63184.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4813607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8527 + ... + 9073.

It is an arithmetic number, because the mean of its divisors is an integer number (178374).

Almost surely, 2^4813600 is an apocalyptic number.

4813600 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 4813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421464).

4813600 is an abundant number, since it is smaller than the sum of its proper divisors (8029328).

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

4813600 is a wasteful number, since it uses less digits than its factorization.

4813600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4813600 is about 2193.9917957914. The cubic root of 4813600 is about 168.8456978915.

Adding to 4813600 its reverse (63184), we get a palindrome (4876784).

It can be divided in two parts, 4 and 813600, that added together give a square (813604 = 902²).

The spelling of 4813600 in words is "four million, eight hundred thirteen thousand, six hundred".