409222404 has 72 divisors (see below), whose sum is σ = 1056543488. Its totient is φ = 133513920.

The previous prime is 409222379. The next prime is 409222409. The reversal of 409222404 is 404222904.

It is not an unprimeable number, because it can be changed into a prime (409222409) 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 23 ways as a sum of consecutive naturals, for example, 673869 + ... + 674475.

Almost surely, 2^409222404 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 409222404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528271744).

409222404 is an abundant number, since it is smaller than the sum of its proper divisors (647321084).

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

409222404 is a wasteful number, since it uses less digits than its factorization.

409222404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 409222404 is about 20229.2462538771. The cubic root of 409222404 is about 742.4259341826.

The spelling of 409222404 in words is "four hundred nine million, two hundred twenty-two thousand, four hundred four".