6246400 has 78 divisors (see below), whose sum is σ = 15743102. Its totient is φ = 2457600.

The previous prime is 6246379. The next prime is 6246403. The reversal of 6246400 is 46426.

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 6230016 = 128^2 + 2496^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6246403) 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, 102370 + ... + 102430.

Almost surely, 2^6246400 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 6246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871551).

6246400 is an abundant number, since it is smaller than the sum of its proper divisors (9496702).

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

6246400 is an equidigital number, since it uses as much as digits as its factorization.

6246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 6246400 is about 2499.2798962901. The cubic root of 6246400 is about 184.1662014371.

The spelling of 6246400 in words is "six million, two hundred forty-six thousand, four hundred".