1000002300 has 288 divisors, whose sum is σ = 3412281600. Its totient is φ = 223488000.

The previous prime is 1000002277. The next prime is 1000002307. The reversal of 1000002300 is 32000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000002307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2570506 + ... + 2570894.

It is an arithmetic number, because the mean of its divisors is an integer number (11848200).

Almost surely, 2^1000002300 is an apocalyptic number.

1000002300 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 1000002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800).

1000002300 is an abundant number, since it is smaller than the sum of its proper divisors (2412279300).

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

1000002300 is a wasteful number, since it uses less digits than its factorization.

1000002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 1000002300 is about 31622.8129678560. The cubic root of 1000002300 is about 1000.0007666661. Note that the first 3 decimals are identical.

Adding to 1000002300 its reverse (32000001), we get a palindrome (1032002301).

The spelling of 1000002300 in words is "one billion, two thousand, three hundred".