6424800 has 72 divisors (see below), whose sum is σ = 20920536. Its totient is φ = 1712640.

The previous prime is 6424799. The next prime is 6424801. The reversal of 6424800 is 84246.

6424800 = 44² + 45² + ... + 268².

It is an interprime number because it is at equal distance from previous prime (6424799) and next prime (6424801).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6424801) 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 11 ways as a sum of consecutive naturals, for example, 1062 + ... + 3738.

It is an arithmetic number, because the mean of its divisors is an integer number (290563).

Almost surely, 2^6424800 is an apocalyptic number.

6424800 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 6424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10460268).

6424800 is an abundant number, since it is smaller than the sum of its proper divisors (14495736).

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

6424800 is a wasteful number, since it uses less digits than its factorization.

6424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6424800 is about 2534.7189193281. The cubic root of 6424800 is about 185.9030596711.

The spelling of 6424800 in words is "six million, four hundred twenty-four thousand, eight hundred".