414213414 has 32 divisors (see below), whose sum is σ = 877620480. Its totient is φ = 129965472.

The previous prime is 414213403. The next prime is 414213427. The reversal of 414213414 is 414312414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6327 + ... + 29469.

It is an arithmetic number, because the mean of its divisors is an integer number (27425640).

Almost surely, 2^414213414 is an apocalyptic number.

414213414 is an abundant number, since it is smaller than the sum of its proper divisors (463407066).

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

414213414 is a wasteful number, since it uses less digits than its factorization.

414213414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23324.

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

The square root of 414213414 is about 20352.2336366306. The cubic root of 414213414 is about 745.4320356416.

Adding to 414213414 its reverse (414312414), we get a palindrome (828525828).

The spelling of 414213414 in words is "four hundred fourteen million, two hundred thirteen thousand, four hundred fourteen".