4666800 has 60 divisors (see below), whose sum is σ = 14953160. Its totient is φ = 1244160.

The previous prime is 4666777. The next prime is 4666801. The reversal of 4666800 is 86664.

It is a happy number.

4666800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4666801) by changing a digit.

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, 745 + ... + 3144.

Almost surely, 2^4666800 is an apocalyptic number.

4666800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4666800 is an abundant number, since it is smaller than the sum of its proper divisors (10286360).

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

4666800 is a wasteful number, since it uses less digits than its factorization.

4666800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4666800 is about 2160.2777599188. The cubic root of 4666800 is about 167.1115226735. Note that the first 3 decimals are identical.

The spelling of 4666800 in words is "four million, six hundred sixty-six thousand, eight hundred".