4608000 has 156 divisors (see below), whose sum is σ = 16611348. Its totient is φ = 1228800.

The previous prime is 4607987. The next prime is 4608007. The reversal of 4608000 is 8064.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 4460544 = 384^2 + 2112^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4608007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 921598 + ... + 921602.

It is an arithmetic number, because the mean of its divisors is an integer number (106483).

Almost surely, 2^4608000 is an apocalyptic number.

4608000 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 4608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8305674).

4608000 is an abundant number, since it is smaller than the sum of its proper divisors (12003348).

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

4608000 is an equidigital number, since it uses as much as digits as its factorization.

4608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4608000 is about 2146.6252583998. The cubic root of 4608000 is about 166.4067058442.

Multiplying 4608000 by its product of nonzero digits (192), we get a cube (884736000 = 960³).

The spelling of 4608000 in words is "four million, six hundred eight thousand".