420413 has 16 divisors (see below), whose sum is σ = 528000. Its totient is φ = 326592.

The previous prime is 420397. The next prime is 420419. The reversal of 420413 is 314024.

It is not a de Polignac number, because 420413 - 2⁴ = 420397 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3803 + ... + 3911.

It is an arithmetic number, because the mean of its divisors is an integer number (33000).

2⁴²⁰⁴¹³ is an apocalyptic number.

It is an amenable number.

420413 is a deficient number, since it is larger than the sum of its proper divisors (107587).

420413 is a wasteful number, since it uses less digits than its factorization.

420413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 420413 is about 648.3926279655. The cubic root of 420413 is about 74.9132626902.

Adding to 420413 its reverse (314024), we get a palindrome (734437).

The spelling of 420413 in words is "four hundred twenty thousand, four hundred thirteen".