6441400 has 96 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 2136960.

The previous prime is 6441389. The next prime is 6441427. The reversal of 6441400 is 41446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60147 + ... + 60253.

It is an arithmetic number, because the mean of its divisors is an integer number (184140).

Almost surely, 2^6441400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

6441400 is an abundant number, since it is smaller than the sum of its proper divisors (11236040).

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

6441400 is a wasteful number, since it uses less digits than its factorization.

6441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 6441400 is about 2537.9913317425. The cubic root of 6441400 is about 186.0630302436.

Adding to 6441400 its reverse (41446), we get a palindrome (6482846).

The spelling of 6441400 in words is "six million, four hundred forty-one thousand, four hundred".