6266400 has 144 divisors (see below), whose sum is σ = 23373504. Its totient is φ = 1428480.

The previous prime is 6266363. The next prime is 6266413. The reversal of 6266400 is 46626.

6266400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16614 + ... + 16986.

It is an arithmetic number, because the mean of its divisors is an integer number (162316).

Almost surely, 2^6266400 is an apocalyptic number.

6266400 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 6266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686752).

6266400 is an abundant number, since it is smaller than the sum of its proper divisors (17107104).

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

6266400 is a wasteful number, since it uses less digits than its factorization.

6266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6266400 is about 2503.2778511384. The cubic root of 6266400 is about 184.3625491927.

It can be divided in two parts, 6266 and 400, that added together give a palindrome (6666).

The spelling of 6266400 in words is "six million, two hundred sixty-six thousand, four hundred".