412320414 has 64 divisors (see below), whose sum is σ = 958314240. Its totient is φ = 116881920.

The previous prime is 412320413. The next prime is 412320427. The reversal of 412320414 is 414023214.

It is a super-2 number, since 2×412320414² = 340016247602262792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412320413) 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 31 ways as a sum of consecutive naturals, for example, 199812 + ... + 201864.

It is an arithmetic number, because the mean of its divisors is an integer number (14973660).

Almost surely, 2^412320414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412320414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479157120).

412320414 is an abundant number, since it is smaller than the sum of its proper divisors (545993826).

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

412320414 is a wasteful number, since it uses less digits than its factorization.

412320414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 412320414 is about 20305.6744285926. The cubic root of 412320414 is about 744.2947330652.

Adding to 412320414 its reverse (414023214), we get a palindrome (826343628).

The spelling of 412320414 in words is "four hundred twelve million, three hundred twenty thousand, four hundred fourteen".