4408000 has 112 divisors (see below), whose sum is σ = 11887200. Its totient is φ = 1612800.

The previous prime is 4407967. The next prime is 4408007. The reversal of 4408000 is 8044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4408007) 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 15 ways as a sum of consecutive naturals, for example, 151986 + ... + 152014.

Almost surely, 2^4408000 is an apocalyptic number.

4408000 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 4408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943600).

4408000 is an abundant number, since it is smaller than the sum of its proper divisors (7479200).

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

4408000 is a wasteful number, since it uses less digits than its factorization.

4408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4408000 is about 2099.5237555217. The cubic root of 4408000 is about 163.9635056611.

The spelling of 4408000 in words is "four million, four hundred eight thousand".