6456000 has 112 divisors (see below), whose sum is σ = 21396960. Its totient is φ = 1715200.

The previous prime is 6455963. The next prime is 6456001. The reversal of 6456000 is 6546.

It is not an unprimeable number, because it can be changed into a prime (6456001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23866 + ... + 24134.

Almost surely, 2^6456000 is an apocalyptic number.

6456000 is a gapful number since it is divisible by the number (60) 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 6456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10698480).

6456000 is an abundant number, since it is smaller than the sum of its proper divisors (14940960).

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

6456000 is a wasteful number, since it uses less digits than its factorization.

6456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 6456000 is about 2540.8659941052. The cubic root of 6456000 is about 186.2035002455.

The spelling of 6456000 in words is "six million, four hundred fifty-six thousand".