4468000 has 48 divisors (see below), whose sum is σ = 10987704. Its totient is φ = 1785600.

The previous prime is 4467997. The next prime is 4468007. The reversal of 4468000 is 8644.

It can be written as a sum of positive squares in 4 ways, for example, as 355216 + 4112784 = 596^2 + 2028^2 .

It is not an unprimeable number, because it can be changed into a prime (4468007) 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 7 ways as a sum of consecutive naturals, for example, 3442 + ... + 4558.

Almost surely, 2^4468000 is an apocalyptic number.

4468000 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 4468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493852).

4468000 is an abundant number, since it is smaller than the sum of its proper divisors (6519704).

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

4468000 is a wasteful number, since it uses less digits than its factorization.

4468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1124 counting only the distinct ones).

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

The square root of 4468000 is about 2113.7644144985. The cubic root of 4468000 is about 164.7040916172.

The spelling of 4468000 in words is "four million, four hundred sixty-eight thousand".