412326432 has 288 divisors, whose sum is σ = 1452028032. Its totient is φ = 108306432.

The previous prime is 412326413. The next prime is 412326433. The reversal of 412326432 is 234623214.

412326432 is a `hidden beast` number, since 4 + 12 + 3 + 2 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 412326396 and 412326405.

It is not an unprimeable number, because it can be changed into a prime (412326433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1816303 + ... + 1816529.

It is an arithmetic number, because the mean of its divisors is an integer number (5041764).

Almost surely, 2^412326432 is an apocalyptic number.

412326432 is a gapful number since it is divisible by the number (42) 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 412326432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726014016).

412326432 is an abundant number, since it is smaller than the sum of its proper divisors (1039701600).

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

412326432 is a wasteful number, since it uses less digits than its factorization.

412326432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 412326432 is about 20305.8226132309. The cubic root of 412326432 is about 744.2983541519.

Adding to 412326432 its reverse (234623214), we get a palindrome (646949646).

The spelling of 412326432 in words is "four hundred twelve million, three hundred twenty-six thousand, four hundred thirty-two".