4668300 has 288 divisors, whose sum is σ = 19443200. Its totient is φ = 933120.

The previous prime is 4668299. The next prime is 4668331. The reversal of 4668300 is 38664.

4668300 = T₃₈₀ + T₃₈₁ + ... + T₄₃₅.

4668300 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245691 + ... + 245709.

Almost surely, 2^4668300 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 4668300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9721600).

4668300 is an abundant number, since it is smaller than the sum of its proper divisors (14774900).

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

4668300 is a wasteful number, since it uses less digits than its factorization.

4668300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4668300 is about 2160.6249096037. The cubic root of 4668300 is about 167.1294250500.

The spelling of 4668300 in words is "four million, six hundred sixty-eight thousand, three hundred".