444461300 has 72 divisors (see below), whose sum is σ = 1020768000. Its totient is φ = 167512320.

The previous prime is 444461299. The next prime is 444461309. The reversal of 444461300 is 3164444.

It is a self number, because there is not a number n which added to its sum of digits gives 444461300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444461309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423176 + ... + 424224.

Almost surely, 2^444461300 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 444461300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510384000).

444461300 is an abundant number, since it is smaller than the sum of its proper divisors (576306700).

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

444461300 is a wasteful number, since it uses less digits than its factorization.

444461300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 444461300 is about 21082.2508285999. The cubic root of 444461300 is about 763.1524756442.

The spelling of 444461300 in words is "four hundred forty-four million, four hundred sixty-one thousand, three hundred".