4768900 has 36 divisors (see below), whose sum is σ = 10471552. Its totient is φ = 1884960.

The previous prime is 4768879. The next prime is 4768901. The reversal of 4768900 is 98674.

It is not an unprimeable number, because it can be changed into a prime (4768901) 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 11 ways as a sum of consecutive naturals, for example, 10069 + ... + 10531.

Almost surely, 2^4768900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235776).

4768900 is an abundant number, since it is smaller than the sum of its proper divisors (5702652).

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

4768900 is a wasteful number, since it uses less digits than its factorization.

4768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 4768900 is about 2183.7811245635. The cubic root of 4768900 is about 168.3214273403.

The spelling of 4768900 in words is "four million, seven hundred sixty-eight thousand, nine hundred".