408033066 has 64 divisors (see below), whose sum is σ = 960777216. Its totient is φ = 113097600.

The previous prime is 408033023. The next prime is 408033071. The reversal of 408033066 is 660330804.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362781 + ... + 363903.

It is an arithmetic number, because the mean of its divisors is an integer number (15012144).

Almost surely, 2^408033066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408033066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480388608).

408033066 is an abundant number, since it is smaller than the sum of its proper divisors (552744150).

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

408033066 is a wasteful number, since it uses less digits than its factorization.

408033066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 408033066 is about 20199.8283656075. The cubic root of 408033066 is about 741.7059897399.

The spelling of 408033066 in words is "four hundred eight million, thirty-three thousand, sixty-six".