409773228 has 48 divisors (see below), whose sum is σ = 1008981120. Its totient is φ = 129078144.

The previous prime is 409773227. The next prime is 409773233. The reversal of 409773228 is 822377904.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 409773228.

It is not an unprimeable number, because it can be changed into a prime (409773227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 98976 + ... + 103032.

It is an arithmetic number, because the mean of its divisors is an integer number (21020440).

Almost surely, 2^409773228 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 409773228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504490560).

409773228 is an abundant number, since it is smaller than the sum of its proper divisors (599207892).

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

409773228 is a wasteful number, since it uses less digits than its factorization.

409773228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 409773228 is about 20242.8562213933. The cubic root of 409773228 is about 742.7588930430.

The spelling of 409773228 in words is "four hundred nine million, seven hundred seventy-three thousand, two hundred twenty-eight".