406264005 has 80 divisors (see below), whose sum is σ = 850291200. Its totient is φ = 181709568.

The previous prime is 406264003. The next prime is 406264013. The reversal of 406264005 is 500462604.

It is a happy number.

It is not a de Polignac number, because 406264005 - 2¹ = 406264003 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 406264005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406264003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131721 + ... + 134769.

It is an arithmetic number, because the mean of its divisors is an integer number (10628640).

Almost surely, 2^406264005 is an apocalyptic number.

406264005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406264005 is an abundant number, since it is smaller than the sum of its proper divisors (444027195).

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

406264005 is a wasteful number, since it uses less digits than its factorization.

406264005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 406264005 is about 20155.9917890438. The cubic root of 406264005 is about 740.6325277235.

The spelling of 406264005 in words is "four hundred six million, two hundred sixty-four thousand, five".