414400405 has 16 divisors (see below), whose sum is σ = 516192768. Its totient is φ = 319032000.

The previous prime is 414400397. The next prime is 414400429. The reversal of 414400405 is 504004414.

It is not a de Polignac number, because 414400405 - 2³ = 414400397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20670 + ... + 35440.

It is an arithmetic number, because the mean of its divisors is an integer number (32262048).

Almost surely, 2^414400405 is an apocalyptic number.

It is an amenable number.

414400405 is a deficient number, since it is larger than the sum of its proper divisors (101792363).

414400405 is a wasteful number, since it uses less digits than its factorization.

414400405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14988.

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 414400405 is about 20356.8269875244. The cubic root of 414400405 is about 745.5441904771.

Adding to 414400405 its reverse (504004414), we get a palindrome (918404819).

The spelling of 414400405 in words is "four hundred fourteen million, four hundred thousand, four hundred five".