6400512 has 80 divisors (see below), whose sum is σ = 18986880. Its totient is φ = 2128896.

The previous prime is 6400489. The next prime is 6400531. The reversal of 6400512 is 2150046.

It is a happy number.

6400512 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13593 + ... + 14055.

It is an arithmetic number, because the mean of its divisors is an integer number (237336).

Almost surely, 2^6400512 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 6400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9493440).

6400512 is an abundant number, since it is smaller than the sum of its proper divisors (12586368).

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

6400512 is an equidigital number, since it uses as much as digits as its factorization.

6400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 6400512 is about 2529.9233189961. The cubic root of 6400512 is about 185.6685042406.

Adding to 6400512 its reverse (2150046), we get a palindrome (8550558).

The spelling of 6400512 in words is "six million, four hundred thousand, five hundred twelve".