4668900 has 72 divisors (see below), whose sum is σ = 13749120. Its totient is φ = 1223040.

The previous prime is 4668899. The next prime is 4668907. The reversal of 4668900 is 98664.

It is not an unprimeable number, because it can be changed into a prime (4668907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23602 + ... + 23798.

It is an arithmetic number, because the mean of its divisors is an integer number (190960).

Almost surely, 2^4668900 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 4668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874560).

4668900 is an abundant number, since it is smaller than the sum of its proper divisors (9080220).

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

4668900 is a wasteful number, since it uses less digits than its factorization.

4668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4668900 is about 2160.7637538611. The cubic root of 4668900 is about 167.1365849269.

The spelling of 4668900 in words is "four million, six hundred sixty-eight thousand, nine hundred".