4684000 has 48 divisors (see below), whose sum is σ = 11518416. Its totient is φ = 1872000.

The previous prime is 4683997. The next prime is 4684003. The reversal of 4684000 is 4864.

4684000 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (4683997) and next prime (4684003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4684003) 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 7 ways as a sum of consecutive naturals, for example, 3415 + ... + 4585.

It is an arithmetic number, because the mean of its divisors is an integer number (239967).

Almost surely, 2^4684000 is an apocalyptic number.

4684000 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 4684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759208).

4684000 is an abundant number, since it is smaller than the sum of its proper divisors (6834416).

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

4684000 is a wasteful number, since it uses less digits than its factorization.

4684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4684000 is about 2164.2550681470. The cubic root of 4684000 is about 167.3165735433.

Adding to 4684000 its reverse (4864), we get a palindrome (4688864).

The spelling of 4684000 in words is "four million, six hundred eighty-four thousand".