412442304 has 84 divisors (see below), whose sum is σ = 1159376904. Its totient is φ = 129376256.

The previous prime is 412442269. The next prime is 412442309. The reversal of 412442304 is 403244214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (412442309) 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 11 ways as a sum of consecutive naturals, for example, 51772 + ... + 59204.

It is an arithmetic number, because the mean of its divisors is an integer number (13802106).

Almost surely, 2^412442304 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 412442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579688452).

412442304 is an abundant number, since it is smaller than the sum of its proper divisors (746934600).

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

412442304 is a wasteful number, since it uses less digits than its factorization.

412442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 412442304 is about 20308.6755845870. The cubic root of 412442304 is about 744.3680685455.

Adding to 412442304 its reverse (403244214), we get a palindrome (815686518).

The spelling of 412442304 in words is "four hundred twelve million, four hundred forty-two thousand, three hundred four".