413365005 has 32 divisors (see below), whose sum is σ = 758584320. Its totient is φ = 213347520.

The previous prime is 413364997. The next prime is 413365019. The reversal of 413365005 is 500563314.

413365005 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 650 + 0 + 5 = 666.

It is not a de Polignac number, because 413365005 - 2³ = 413364997 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 413365005.

It is a congruent 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, 45202 + ... + 53571.

It is an arithmetic number, because the mean of its divisors is an integer number (23705760).

Almost surely, 2^413365005 is an apocalyptic number.

413365005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413365005 is a deficient number, since it is larger than the sum of its proper divisors (345219315).

413365005 is a wasteful number, since it uses less digits than its factorization.

413365005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98818 (or 98812 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 413365005 is about 20331.3798105293. The cubic root of 413365005 is about 744.9227462196.

The spelling of 413365005 in words is "four hundred thirteen million, three hundred sixty-five thousand, five".