412330100 has 108 divisors (see below), whose sum is σ = 1121076684. Its totient is φ = 130475520.

The previous prime is 412330099. The next prime is 412330111. The reversal of 412330100 is 1033214.

It can be written as a sum of positive squares in 6 ways, for example, as 97693456 + 314636644 = 9884^2 + 17738^2 .

It is a super-2 number, since 2×412330100² = 340032222732020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60464 + ... + 66936.

Almost surely, 2^412330100 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 412330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560538342).

412330100 is an abundant number, since it is smaller than the sum of its proper divisors (708746584).

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

412330100 is a wasteful number, since it uses less digits than its factorization.

412330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514 (or 6500 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 412330100 is about 20305.9129319516. The cubic root of 412330100 is about 744.3005612044.

Adding to 412330100 its reverse (1033214), we get a palindrome (413363314).

The spelling of 412330100 in words is "four hundred twelve million, three hundred thirty thousand, one hundred".