409093120 has 44 divisors (see below), whose sum is σ = 981356364. Its totient is φ = 163635200.

The previous prime is 409093093. The next prime is 409093129. The reversal of 409093120 is 21390904.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 141705216 + 267387904 = 11904^2 + 16352^2 .

It is not an unprimeable number, because it can be changed into a prime (409093129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34831 + ... + 45070.

Almost surely, 2^409093120 is an apocalyptic number.

409093120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409093120 is an abundant number, since it is smaller than the sum of its proper divisors (572263244).

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

409093120 is an equidigital number, since it uses as much as digits as its factorization.

409093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79926 (or 79908 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 409093120 is about 20226.0505289589. The cubic root of 409093120 is about 742.3477420608.

The spelling of 409093120 in words is "four hundred nine million, ninety-three thousand, one hundred twenty".