6444360 has 224 divisors, whose sum is σ = 24789240. Its totient is φ = 1492992.

The previous prime is 6444353. The next prime is 6444371. The reversal of 6444360 is 634446.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4901796 + 1542564 = 2214^2 + 1242^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 379072 + ... + 379088.

Almost surely, 2^6444360 is an apocalyptic number.

6444360 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 6444360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394620).

6444360 is an abundant number, since it is smaller than the sum of its proper divisors (18344880).

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

6444360 is a wasteful number, since it uses less digits than its factorization.

6444360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6444360 is about 2538.5744030853. The cubic root of 6444360 is about 186.0915262346.

The spelling of 6444360 in words is "six million, four hundred forty-four thousand, three hundred sixty".