6442400 has 36 divisors (see below), whose sum is σ = 15729462. Its totient is φ = 2576640.

The previous prime is 6442399. The next prime is 6442427. The reversal of 6442400 is 42446.

It can be written as a sum of positive squares in 3 ways, for example, as 5513104 + 929296 = 2348^2 + 964^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3227 + ... + 4826.

Almost surely, 2^6442400 is an apocalyptic number.

It is an amenable number.

6442400 is an abundant number, since it is smaller than the sum of its proper divisors (9287062).

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

6442400 is a wasteful number, since it uses less digits than its factorization.

6442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8073 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 6442400 is about 2538.1883302860. The cubic root of 6442400 is about 186.0726582438.

Adding to 6442400 its reverse (42446), we get a palindrome (6484846).

The spelling of 6442400 in words is "six million, four hundred forty-two thousand, four hundred".