409222944 has 144 divisors (see below), whose sum is σ = 1296804600. Its totient is φ = 121540608.

The previous prime is 409222897. The next prime is 409222949. The reversal of 409222944 is 449222904.

It can be written as a sum of positive squares in 4 ways, for example, as 348195600 + 61027344 = 18660^2 + 7812^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 409222899 and 409222908.

It is not an unprimeable number, because it can be changed into a prime (409222949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106692 + ... + 110460.

Almost surely, 2^409222944 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 409222944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648402300).

409222944 is an abundant number, since it is smaller than the sum of its proper divisors (887581656).

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

409222944 is a wasteful number, since it uses less digits than its factorization.

409222944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 409222944 is about 20229.2596008851. The cubic root of 409222944 is about 742.4262607449.

The spelling of 409222944 in words is "four hundred nine million, two hundred twenty-two thousand, nine hundred forty-four".