4464000 has 192 divisors, whose sum is σ = 16548480. Its totient is φ = 1152000.

The previous prime is 4463971. The next prime is 4464007. The reversal of 4464000 is 4644.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143985 + ... + 144015.

It is an arithmetic number, because the mean of its divisors is an integer number (86190).

Almost surely, 2^4464000 is an apocalyptic number.

4464000 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 4464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8274240).

4464000 is an abundant number, since it is smaller than the sum of its proper divisors (12084480).

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

4464000 is a wasteful number, since it uses less digits than its factorization.

4464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

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

The square root of 4464000 is about 2112.8180233991. The cubic root of 4464000 is about 164.6549262138.

Adding to 4464000 its reverse (4644), we get a palindrome (4468644).

The spelling of 4464000 in words is "four million, four hundred sixty-four thousand".