420405 has 8 divisors (see below), whose sum is σ = 672672. Its totient is φ = 224208.

The previous prime is 420397. The next prime is 420419. The reversal of 420405 is 504024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 420405 - 2³ = 420397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 28027 = 420405 / (4 + 2 + 0 + 4 + 0 + 5).

420405 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13999 + ... + 14028.

It is an arithmetic number, because the mean of its divisors is an integer number (84084).

2⁴²⁰⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

420405 is a deficient number, since it is larger than the sum of its proper divisors (252267).

420405 is a wasteful number, since it uses less digits than its factorization.

420405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28035.

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 420405 is about 648.3864588345. The cubic root of 420405 is about 74.9127875146.

Adding to 420405 its reverse (504024), we get a palindrome (924429).

The spelling of 420405 in words is "four hundred twenty thousand, four hundred five".