6226400 has 72 divisors (see below), whose sum is σ = 15639624. Its totient is φ = 2419200.

The previous prime is 6226393. The next prime is 6226417. The reversal of 6226400 is 46226.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34310 + ... + 34490.

It is an arithmetic number, because the mean of its divisors is an integer number (217217).

Almost surely, 2^6226400 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 6226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819812).

6226400 is an abundant number, since it is smaller than the sum of its proper divisors (9413224).

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

6226400 is a wasteful number, since it uses less digits than its factorization.

6226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6226400 is about 2495.2755358878. The cubic root of 6226400 is about 183.9694341162.

It can be divided in two parts, 62 and 26400, that added together give a palindrome (26462).

The spelling of 6226400 in words is "six million, two hundred twenty-six thousand, four hundred".