30444200 has 72 divisors (see below), whose sum is σ = 73712730. Its totient is φ = 11692800.

The previous prime is 30444199. The next prime is 30444217. The reversal of 30444200 is 244403.

It can be written as a sum of positive squares in 9 ways, for example, as 128164 + 30316036 = 358^2 + 5506^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 168110 + ... + 168290.

Almost surely, 2^30444200 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 30444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36856365).

30444200 is an abundant number, since it is smaller than the sum of its proper divisors (43268530).

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

30444200 is a wasteful number, since it uses less digits than its factorization.

30444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 30444200 is about 5517.6263012277. The cubic root of 30444200 is about 312.2493349883.

Adding to 30444200 its reverse (244403), we get a palindrome (30688603).

The spelling of 30444200 in words is "thirty million, four hundred forty-four thousand, two hundred".