414111420 has 48 divisors (see below), whose sum is σ = 1288348320. Its totient is φ = 110429568.

The previous prime is 414111391. The next prime is 414111421. The reversal of 414111420 is 24111414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 414111393 and 414111402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414111421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382897 + ... + 383976.

It is an arithmetic number, because the mean of its divisors is an integer number (26840590).

Almost surely, 2^414111420 is an apocalyptic number.

It is an amenable number.

414111420 is an abundant number, since it is smaller than the sum of its proper divisors (874236900).

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

414111420 is a wasteful number, since it uses less digits than its factorization.

414111420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766891 (or 766883 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 414111420 is about 20349.7277623068. The cubic root of 414111420 is about 745.3708467039.

Adding to 414111420 its reverse (24111414), we get a palindrome (438222834).

The spelling of 414111420 in words is "four hundred fourteen million, one hundred eleven thousand, four hundred twenty".