4445600 has 36 divisors (see below), whose sum is σ = 10854774. Its totient is φ = 1777920.

The previous prime is 4445593. The next prime is 4445603. The reversal of 4445600 is 65444.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4145296 + 300304 = 2036^2 + 548^2 .

It is not an unprimeable number, because it can be changed into a prime (4445603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1979 + ... + 3578.

Almost surely, 2^4445600 is an apocalyptic number.

4445600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4445600 is an abundant number, since it is smaller than the sum of its proper divisors (6409174).

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

4445600 is a wasteful number, since it uses less digits than its factorization.

4445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 4445600 is about 2108.4591530310. The cubic root of 4445600 is about 164.4283862793.

The spelling of 4445600 in words is "four million, four hundred forty-five thousand, six hundred".