404351220 has 192 divisors, whose sum is σ = 1408942080. Its totient is φ = 84367872.

The previous prime is 404351209. The next prime is 404351243. The reversal of 404351220 is 22153404.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 562021 + ... + 562739.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2^404351220 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 404351220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

404351220 is an abundant number, since it is smaller than the sum of its proper divisors (1004590860).

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

404351220 is a wasteful number, since it uses less digits than its factorization.

404351220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 404351220 is about 20108.4862682401. The cubic root of 404351220 is about 739.4683422481.

The spelling of 404351220 in words is "four hundred four million, three hundred fifty-one thousand, two hundred twenty".