404114220 has 72 divisors (see below), whose sum is σ = 1228893120. Its totient is φ = 107493120.

The previous prime is 404114219. The next prime is 404114237. The reversal of 404114220 is 22411404.

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 = 404114193 and 404114202.

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, 74976 + ... + 80184.

It is an arithmetic number, because the mean of its divisors is an integer number (17067960).

Almost surely, 2^404114220 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 404114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614446560).

404114220 is an abundant number, since it is smaller than the sum of its proper divisors (824778900).

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

404114220 is a wasteful number, since it uses less digits than its factorization.

404114220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655 (or 5650 counting only the distinct ones).

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

The square root of 404114220 is about 20102.5923701397. The cubic root of 404114220 is about 739.3238406038.

Adding to 404114220 its reverse (22411404), we get a palindrome (426525624).

The spelling of 404114220 in words is "four hundred four million, one hundred fourteen thousand, two hundred twenty".