404033220 has 216 divisors, whose sum is σ = 1352509704. Its totient is φ = 97284096.

The previous prime is 404033171. The next prime is 404033263. The reversal of 404033220 is 22330404.

404033220 is a `hidden beast` number, since 40 + 403 + 3 + 220 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 60746436 + 343286784 = 7794^2 + 18528^2 .

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 = 404033193 and 404033202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2573382 + ... + 2573538.

It is an arithmetic number, because the mean of its divisors is an integer number (6261619).

Almost surely, 2^404033220 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 404033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676254852).

404033220 is an abundant number, since it is smaller than the sum of its proper divisors (948476484).

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

404033220 is a wasteful number, since it uses less digits than its factorization.

404033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 404033220 is about 20100.5776036411. The cubic root of 404033220 is about 739.2744410119.

Adding to 404033220 its reverse (22330404), we get a palindrome (426363624).

The spelling of 404033220 in words is "four hundred four million, thirty-three thousand, two hundred twenty".