412430100 has 72 divisors (see below), whose sum is σ = 1215859680. Its totient is φ = 107902080.

The previous prime is 412430059. The next prime is 412430101. The reversal of 412430100 is 1034214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 412430100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412430101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2931 + ... + 28869.

It is an arithmetic number, because the mean of its divisors is an integer number (16886940).

Almost surely, 2^412430100 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 412430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607929840).

412430100 is an abundant number, since it is smaller than the sum of its proper divisors (803429580).

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

412430100 is a wasteful number, since it uses less digits than its factorization.

412430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26009 (or 26002 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 412430100 is about 20308.3751196397. The cubic root of 412430100 is about 744.3607266236.

Adding to 412430100 its reverse (1034214), we get a palindrome (413464314).

The spelling of 412430100 in words is "four hundred twelve million, four hundred thirty thousand, one hundred".