406505073 has 16 divisors (see below), whose sum is σ = 584077760. Its totient is φ = 249994944.

The previous prime is 406505041. The next prime is 406505087. The reversal of 406505073 is 370505604.

It is not a de Polignac number, because 406505073 - 2⁵ = 406505041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 406505073.

It is not an unprimeable number, because it can be changed into a prime (406505023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90990 + ... + 95352.

It is an arithmetic number, because the mean of its divisors is an integer number (36504860).

Almost surely, 2^406505073 is an apocalyptic number.

It is an amenable number.

406505073 is a deficient number, since it is larger than the sum of its proper divisors (177572687).

406505073 is a wasteful number, since it uses less digits than its factorization.

406505073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768.

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 406505073 is about 20161.9709602013. The cubic root of 406505073 is about 740.7789903662.

The spelling of 406505073 in words is "four hundred six million, five hundred five thousand, seventy-three".