414241420 has 96 divisors (see below), whose sum is σ = 943588800. Its totient is φ = 152285184.

The previous prime is 414241393. The next prime is 414241433. The reversal of 414241420 is 24142414.

It is a junction number, because it is equal to n+sod(n) for n = 414241391 and 414241400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3023592 + ... + 3023728.

It is an arithmetic number, because the mean of its divisors is an integer number (9829050).

Almost surely, 2^414241420 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 414241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471794400).

414241420 is an abundant number, since it is smaller than the sum of its proper divisors (529347380).

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

414241420 is a wasteful number, since it uses less digits than its factorization.

414241420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 414241420 is about 20352.9216575901. The cubic root of 414241420 is about 745.4488354348.

Adding to 414241420 its reverse (24142414), we get a palindrome (438383834).

The spelling of 414241420 in words is "four hundred fourteen million, two hundred forty-one thousand, four hundred twenty".