4668200 has 48 divisors (see below), whose sum is σ = 11500380. Its totient is φ = 1756160.

The previous prime is 4668199. The next prime is 4668211. The reversal of 4668200 is 28664.

4668200 = 516² + 517² + ... + 532².

It can be written as a sum of positive squares in 6 ways, for example, as 3818116 + 850084 = 1954^2 + 922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4668200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2714 + ... + 4086.

Almost surely, 2^4668200 is an apocalyptic number.

4668200 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 4668200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750190).

4668200 is an abundant number, since it is smaller than the sum of its proper divisors (6832180).

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

4668200 is a wasteful number, since it uses less digits than its factorization.

4668200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4668200 is about 2160.6017680267. The cubic root of 4668200 is about 167.1282316776.

The spelling of 4668200 in words is "four million, six hundred sixty-eight thousand, two hundred".