404646220 has 96 divisors (see below), whose sum is σ = 960434496. Its totient is φ = 141926400.

The previous prime is 404646217. The next prime is 404646233. The reversal of 404646220 is 22646404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1019062 + ... + 1019458.

It is an arithmetic number, because the mean of its divisors is an integer number (10004526).

Almost surely, 2^404646220 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 404646220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480217248).

404646220 is an abundant number, since it is smaller than the sum of its proper divisors (555788276).

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

404646220 is a wasteful number, since it uses less digits than its factorization.

404646220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 404646220 is about 20115.8201423656. The cubic root of 404646220 is about 739.6481283036.

The spelling of 404646220 in words is "four hundred four million, six hundred forty-six thousand, two hundred twenty".