4660800 has 84 divisors (see below), whose sum is σ = 15307056. Its totient is φ = 1241600.

The previous prime is 4660783. The next prime is 4660801. The reversal of 4660800 is 80664.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4660801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4315 + ... + 5285.

Almost surely, 2^4660800 is an apocalyptic number.

4660800 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 4660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7653528).

4660800 is an abundant number, since it is smaller than the sum of its proper divisors (10646256).

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

4660800 is a wasteful number, since it uses less digits than its factorization.

4660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4660800 is about 2158.8886029622. Note that the first 3 decimals coincide. The cubic root of 4660800 is about 167.0398747815.

It can be divided in two parts, 4660 and 800, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 4660800 in words is "four million, six hundred sixty thousand, eight hundred".