409121280 has 200 divisors, whose sum is σ = 1466085852. Its totient is φ = 109043712.

The previous prime is 409121267. The next prime is 409121287. The reversal of 409121280 is 82121904.

It can be written as a sum of positive squares in 2 ways, for example, as 389193984 + 19927296 = 19728^2 + 4464^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (409121287) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206374 + ... + 208346.

Almost surely, 2^409121280 is an apocalyptic number.

409121280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733042926).

409121280 is an abundant number, since it is smaller than the sum of its proper divisors (1056964572).

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

409121280 is an equidigital number, since it uses as much as digits as its factorization.

409121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 409121280 is about 20226.7466489300. The cubic root of 409121280 is about 742.3647748844.

The spelling of 409121280 in words is "four hundred nine million, one hundred twenty-one thousand, two hundred eighty".