4644000 has 192 divisors, whose sum is σ = 17297280. Its totient is φ = 1209600.

The previous prime is 4643993. The next prime is 4644001. The reversal of 4644000 is 4464.

4644000 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

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

It is not an unprimeable number, because it can be changed into a prime (4644001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107979 + ... + 108021.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

Almost surely, 2^4644000 is an apocalyptic number.

4644000 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 4644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648640).

4644000 is an abundant number, since it is smaller than the sum of its proper divisors (12653280).

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

4644000 is a wasteful number, since it uses less digits than its factorization.

4644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4644000 is about 2154.9941995282. The cubic root of 4644000 is about 166.8389329956.

Adding to 4644000 its reverse (4464), we get a palindrome (4648464).

The spelling of 4644000 in words is "four million, six hundred forty-four thousand".