409467366 has 256 divisors, whose sum is σ = 1227571200. Its totient is φ = 97977600.

The previous prime is 409467353. The next prime is 409467397. The reversal of 409467366 is 663764904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5609106 + ... + 5609178.

It is an arithmetic number, because the mean of its divisors is an integer number (4795200).

Almost surely, 2^409467366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409467366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613785600).

409467366 is an abundant number, since it is smaller than the sum of its proper divisors (818103834).

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

409467366 is a wasteful number, since it uses less digits than its factorization.

409467366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 409467366 is about 20235.2999977762. The cubic root of 409467366 is about 742.5740442432.

The spelling of 409467366 in words is "four hundred nine million, four hundred sixty-seven thousand, three hundred sixty-six".