414104220 has 72 divisors (see below), whose sum is σ = 1274901264. Its totient is φ = 108776448.

The previous prime is 414104209. The next prime is 414104237. The reversal of 414104220 is 22401414.

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 = 414104193 and 414104202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5109 + ... + 29228.

It is an arithmetic number, because the mean of its divisors is an integer number (17706962).

Almost surely, 2^414104220 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 414104220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637450632).

414104220 is an abundant number, since it is smaller than the sum of its proper divisors (860797044).

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

414104220 is a wasteful number, since it uses less digits than its factorization.

414104220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34419 (or 34414 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414104220 is about 20349.5508549943. The cubic root of 414104220 is about 745.3665268511.

Adding to 414104220 its reverse (22401414), we get a palindrome (436505634).

The spelling of 414104220 in words is "four hundred fourteen million, one hundred four thousand, two hundred twenty".