1000414300 has 72 divisors (see below), whose sum is σ = 2310320880. Its totient is φ = 374707200.

The previous prime is 1000414297. The next prime is 1000414313. The reversal of 1000414300 is 34140001.

1000414300 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357306 + ... + 360094.

It is an arithmetic number, because the mean of its divisors is an integer number (32087790).

Almost surely, 2^1000414300 is an apocalyptic number.

1000414300 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 1000414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155160440).

1000414300 is an abundant number, since it is smaller than the sum of its proper divisors (1309906580).

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

1000414300 is a wasteful number, since it uses less digits than its factorization.

1000414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3024 counting only the distinct ones).

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

The square root of 1000414300 is about 31629.3265815129. The cubic root of 1000414300 is about 1000.1380809328.

Adding to 1000414300 its reverse (34140001), we get a palindrome (1034554301).

The spelling of 1000414300 in words is "one billion, four hundred fourteen thousand, three hundred".