404312220 has 108 divisors (see below), whose sum is σ = 1328110056. Its totient is φ = 99515520.

The previous prime is 404312203. The next prime is 404312221. The reversal of 404312220 is 22213404.

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 = 404312193 and 404312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404312221) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 23775 + ... + 37065.

Almost surely, 2^404312220 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 404312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664055028).

404312220 is an abundant number, since it is smaller than the sum of its proper divisors (923797836).

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

404312220 is a wasteful number, since it uses less digits than its factorization.

404312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13332 (or 13314 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 404312220 is about 20107.5165050287. The cubic root of 404312220 is about 739.4445673785. Note that the first 3 decimals are identical.

Adding to 404312220 its reverse (22213404), we get a palindrome (426525624).

The spelling of 404312220 in words is "four hundred four million, three hundred twelve thousand, two hundred twenty".