414113420 has 48 divisors (see below), whose sum is σ = 996323328. Its totient is φ = 141631680.

The previous prime is 414113411. The next prime is 414113437. The reversal of 414113420 is 24311414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 414113392 and 414113401.

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, 56909 + ... + 63771.

It is an arithmetic number, because the mean of its divisors is an integer number (20756736).

Almost surely, 2^414113420 is an apocalyptic number.

It is an amenable number.

414113420 is an abundant number, since it is smaller than the sum of its proper divisors (582209908).

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

414113420 is a wasteful number, since it uses less digits than its factorization.

414113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7310 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 414113420 is about 20349.7769029540. The cubic root of 414113420 is about 745.3720466542.

Adding to 414113420 its reverse (24311414), we get a palindrome (438424834).

The spelling of 414113420 in words is "four hundred fourteen million, one hundred thirteen thousand, four hundred twenty".