6401500 has 96 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 2088000.

The previous prime is 6401497. The next prime is 6401509. The reversal of 6401500 is 51046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108471 + ... + 108529.

It is an arithmetic number, because the mean of its divisors is an integer number (174720).

Almost surely, 2^6401500 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 6401500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386560).

6401500 is an abundant number, since it is smaller than the sum of its proper divisors (10371620).

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

6401500 is a wasteful number, since it uses less digits than its factorization.

6401500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 6401500 is about 2530.1185742965. The cubic root of 6401500 is about 185.6780571766.

Adding to 6401500 its reverse (51046), we get a palindrome (6452546).

The spelling of 6401500 in words is "six million, four hundred one thousand, five hundred".