409313380 has 48 divisors (see below), whose sum is σ = 990130176. Its totient is φ = 139224960.

The previous prime is 409313353. The next prime is 409313381. The reversal of 409313380 is 83313904.

It is not an unprimeable number, because it can be changed into a prime (409313381) 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 15 ways as a sum of consecutive naturals, for example, 6270 + ... + 29290.

It is an arithmetic number, because the mean of its divisors is an integer number (20627712).

Almost surely, 2^409313380 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 409313380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495065088).

409313380 is an abundant number, since it is smaller than the sum of its proper divisors (580816796).

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

409313380 is a wasteful number, since it uses less digits than its factorization.

409313380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23164 (or 23162 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 409313380 is about 20231.4947544664. The cubic root of 409313380 is about 742.4809474114.

The spelling of 409313380 in words is "four hundred nine million, three hundred thirteen thousand, three hundred eighty".