412431300 has 108 divisors (see below), whose sum is σ = 1324391796. Its totient is φ = 107289600.

The previous prime is 412431289. The next prime is 412431323. The reversal of 412431300 is 3134214.

It can be written as a sum of positive squares in 6 ways, for example, as 18249984 + 394181316 = 4272^2 + 19854^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 31312 + ... + 42488.

It is an arithmetic number, because the mean of its divisors is an integer number (12262887).

Almost surely, 2^412431300 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 412431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662195898).

412431300 is an abundant number, since it is smaller than the sum of its proper divisors (911960496).

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

412431300 is a wasteful number, since it uses less digits than its factorization.

412431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11238 (or 11228 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 412431300 is about 20308.4046640794. The cubic root of 412431300 is about 744.3614485496.

Adding to 412431300 its reverse (3134214), we get a palindrome (415565514).

The spelling of 412431300 in words is "four hundred twelve million, four hundred thirty-one thousand, three hundred".