409797060 has 96 divisors (see below), whose sum is σ = 1207084032. Its totient is φ = 103733760.

The previous prime is 409797043. The next prime is 409797061. The reversal of 409797060 is 60797904.

409797060 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (409797061) 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 31 ways as a sum of consecutive naturals, for example, 96502 + ... + 100658.

It is an arithmetic number, because the mean of its divisors is an integer number (12573792).

Almost surely, 2^409797060 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 409797060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603542016).

409797060 is an abundant number, since it is smaller than the sum of its proper divisors (797286972).

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

409797060 is a wasteful number, since it uses less digits than its factorization.

409797060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 409797060 is about 20243.4448649433. Note that the first 3 decimals coincide. The cubic root of 409797060 is about 742.7732921347.

The spelling of 409797060 in words is "four hundred nine million, seven hundred ninety-seven thousand, sixty".