6330400 has 72 divisors (see below), whose sum is σ = 15913044. Its totient is φ = 2457600.

The previous prime is 6330391. The next prime is 6330407. The reversal of 6330400 is 40336.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 318096 + 6012304 = 564^2 + 2452^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (6330407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32704 + ... + 32896.

Almost surely, 2^6330400 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 6330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956522).

6330400 is an abundant number, since it is smaller than the sum of its proper divisors (9582644).

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

6330400 is a wasteful number, since it uses less digits than its factorization.

6330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 6330400 is about 2516.0286166894. The cubic root of 6330400 is about 184.9880683807.

Adding to 6330400 its reverse (40336), we get a palindrome (6370736).

Subtracting from 6330400 its reverse (40336), we obtain a square (6290064 = 2508²).

The spelling of 6330400 in words is "six million, three hundred thirty thousand, four hundred".