6454400 has 48 divisors (see below), whose sum is σ = 15952290. Its totient is φ = 2580480.

The previous prime is 6454387. The next prime is 6454403. The reversal of 6454400 is 44546.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5721664 + 732736 = 2392^2 + 856^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6454403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2192 + ... + 4208.

Almost surely, 2^6454400 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 6454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7976145).

6454400 is an abundant number, since it is smaller than the sum of its proper divisors (9497890).

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

6454400 is a wasteful number, since it uses less digits than its factorization.

6454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 6454400 is about 2540.5511213121. The cubic root of 6454400 is about 186.1881166119.

Adding to 6454400 its reverse (44546), we get a palindrome (6498946).

The spelling of 6454400 in words is "six million, four hundred fifty-four thousand, four hundred".