414341412 has 96 divisors (see below), whose sum is σ = 1056276480. Its totient is φ = 126023040.

The previous prime is 414341407. The next prime is 414341413. The reversal of 414341412 is 214143414.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (414341413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675618 + ... + 676230.

It is an arithmetic number, because the mean of its divisors is an integer number (11002880).

Almost surely, 2^414341412 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 414341412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528138240).

414341412 is an abundant number, since it is smaller than the sum of its proper divisors (641935068).

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

414341412 is a wasteful number, since it uses less digits than its factorization.

414341412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 751 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 414341412 is about 20355.3779625926. The cubic root of 414341412 is about 745.5088108659.

Adding to 414341412 its reverse (214143414), we get a palindrome (628484826).

The spelling of 414341412 in words is "four hundred fourteen million, three hundred forty-one thousand, four hundred twelve".