444899100 has 144 divisors (see below), whose sum is σ = 1335852000. Its totient is φ = 114232320.

The previous prime is 444899099. The next prime is 444899123. The reversal of 444899100 is 1998444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653766 + ... + 1654034.

It is an arithmetic number, because the mean of its divisors is an integer number (9276750).

Almost surely, 2^444899100 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 444899100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667926000).

444899100 is an abundant number, since it is smaller than the sum of its proper divisors (890952900).

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

444899100 is a wasteful number, since it uses less digits than its factorization.

444899100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 444899100 is about 21092.6314147856. The cubic root of 444899100 is about 763.4029650296.

It can be divided in two parts, 444 and 899100, that multiplied together give a square (399200400 = 19980²).

The spelling of 444899100 in words is "four hundred forty-four million, eight hundred ninety-nine thousand, one hundred".