1000441300 has 72 divisors (see below), whose sum is σ = 2254633472. Its totient is φ = 384912000.

The previous prime is 1000441243. The next prime is 1000441301. The reversal of 1000441300 is 31440001.

1000441300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000441301) 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, 560209 + ... + 561991.

Almost surely, 2^1000441300 is an apocalyptic number.

1000441300 is a gapful number since it is divisible by the number (10) 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 1000441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127316736).

1000441300 is an abundant number, since it is smaller than the sum of its proper divisors (1254192172).

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

1000441300 is a wasteful number, since it uses less digits than its factorization.

1000441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1000441300 is about 31629.7533977108. The cubic root of 1000441300 is about 1000.1470783669.

Adding to 1000441300 its reverse (31440001), we get a palindrome (1031881301).

The spelling of 1000441300 in words is "one billion, four hundred forty-one thousand, three hundred".