6456400 has 30 divisors (see below), whose sum is σ = 15512462. Its totient is φ = 2582400.

The previous prime is 6456391. The next prime is 6456403. The reversal of 6456400 is 46546.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 266256 + 6190144 = 516^2 + 2488^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456403) 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 5 ways as a sum of consecutive naturals, for example, 7671 + ... + 8470.

Almost surely, 2^6456400 is an apocalyptic number.

It is an amenable number.

6456400 is an abundant number, since it is smaller than the sum of its proper divisors (9056062).

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

6456400 is a wasteful number, since it uses less digits than its factorization.

6456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16159 (or 16148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 6456400 is about 2540.9447062067. The cubic root of 6456400 is about 186.2073457568.

The spelling of 6456400 in words is "six million, four hundred fifty-six thousand, four hundred".