4402000 has 80 divisors (see below), whose sum is σ = 11142144. Its totient is φ = 1680000.

The previous prime is 4401989. The next prime is 4402003. The reversal of 4402000 is 2044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61965 + ... + 62035.

Almost surely, 2^4402000 is an apocalyptic number.

4402000 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 4402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072).

4402000 is an abundant number, since it is smaller than the sum of its proper divisors (6740144).

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

4402000 is a wasteful number, since it uses less digits than its factorization.

4402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4402000 is about 2098.0943734732. The cubic root of 4402000 is about 163.8890782766.

Adding to 4402000 its reverse (2044), we get a palindrome (4404044).

The spelling of 4402000 in words is "four million, four hundred two thousand".