6401000 has 64 divisors (see below), whose sum is σ = 15472080. Its totient is φ = 2476800.

The previous prime is 6400987. The next prime is 6401011. The reversal of 6401000 is 1046.

It can be written as a sum of positive squares in 8 ways, for example, as 2328676 + 4072324 = 1526^2 + 2018^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36914 + ... + 37086.

Almost surely, 2^6401000 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 6401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736040).

6401000 is an abundant number, since it is smaller than the sum of its proper divisors (9071080).

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

6401000 is a wasteful number, since it uses less digits than its factorization.

6401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 6401000 is about 2530.0197627687. The cubic root of 6401000 is about 185.6732228176.

Adding to 6401000 its reverse (1046), we get a palindrome (6402046).

The spelling of 6401000 in words is "six million, four hundred one thousand".