414128220 has 96 divisors (see below), whose sum is σ = 1288949760. Its totient is φ = 98492160.

The previous prime is 414128203. The next prime is 414128263. The reversal of 414128220 is 22821414.

It is a congruent number.

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, 29061 + ... + 40899.

It is an arithmetic number, because the mean of its divisors is an integer number (13426560).

Almost surely, 2^414128220 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 414128220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644474880).

414128220 is an abundant number, since it is smaller than the sum of its proper divisors (874821540).

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

414128220 is a wasteful number, since it uses less digits than its factorization.

414128220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11915 (or 11913 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 414128220 is about 20350.1405400552. The cubic root of 414128220 is about 745.3809261659.

Adding to 414128220 its reverse (22821414), we get a palindrome (436949634).

The spelling of 414128220 in words is "four hundred fourteen million, one hundred twenty-eight thousand, two hundred twenty".