6444900 has 288 divisors, whose sum is σ = 26664960. Its totient is φ = 1296000.

The previous prime is 6444871. The next prime is 6444937. The reversal of 6444900 is 94446.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207885 + ... + 207915.

Almost surely, 2^6444900 is an apocalyptic number.

6444900 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 6444900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332480).

6444900 is an abundant number, since it is smaller than the sum of its proper divisors (20220060).

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

6444900 is a wasteful number, since it uses less digits than its factorization.

6444900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6444900 is about 2538.6807597648. The cubic root of 6444900 is about 186.0967238864.

Subtracting from 6444900 its product of nonzero digits (3456), we obtain a square (6441444 = 2538²).

The spelling of 6444900 in words is "six million, four hundred forty-four thousand, nine hundred".