414321414 has 48 divisors (see below), whose sum is σ = 906227712. Its totient is φ = 126213984.

The previous prime is 414321407. The next prime is 414321431. The reversal of 414321414 is 414123414.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 102459 + ... + 106425.

It is an arithmetic number, because the mean of its divisors is an integer number (18879744).

Almost surely, 2^414321414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414321414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453113856).

414321414 is an abundant number, since it is smaller than the sum of its proper divisors (491906298).

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

414321414 is a wasteful number, since it uses less digits than its factorization.

414321414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4088 counting only the distinct ones).

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

The square root of 414321414 is about 20354.8867351307. The cubic root of 414321414 is about 745.4968167916.

Adding to 414321414 its reverse (414123414), we get a palindrome (828444828).

The spelling of 414321414 in words is "four hundred fourteen million, three hundred twenty-one thousand, four hundred fourteen".