404101220 has 48 divisors (see below), whose sum is σ = 902564208. Its totient is φ = 151449600.

The previous prime is 404101219. The next prime is 404101223. The reversal of 404101220 is 22101404.

404101220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 81252196 + 322849024 = 9014^2 + 17968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404101195 and 404101204.

It is not an unprimeable number, because it can be changed into a prime (404101223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76670 + ... + 81770.

It is an arithmetic number, because the mean of its divisors is an integer number (18803421).

Almost surely, 2^404101220 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 404101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451282104).

404101220 is an abundant number, since it is smaller than the sum of its proper divisors (498462988).

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

404101220 is a wasteful number, since it uses less digits than its factorization.

404101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 404101220 is about 20102.2690261572. The cubic root of 404101220 is about 739.3159127190.

Adding to 404101220 its reverse (22101404), we get a palindrome (426202624).

The spelling of 404101220 in words is "four hundred four million, one hundred one thousand, two hundred twenty".