420906 has 32 divisors (see below), whose sum is σ = 907200. Its totient is φ = 129920.

The previous prime is 420899. The next prime is 420919. The reversal of 420906 is 609024.

It is an Ulam number.

It is an unprimeable number.

420906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7105 + ... + 7163.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁴²⁰⁹⁰⁶ is an apocalyptic number.

420906 is an abundant number, since it is smaller than the sum of its proper divisors (486294).

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

420906 is a wasteful number, since it uses less digits than its factorization.

420906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 420906 is about 648.7726874646. The cubic root of 420906 is about 74.9425337574.

It can be divided in two parts, 420 and 906, that added together give a triangular number (1326 = T₅₁).

The spelling of 420906 in words is "four hundred twenty thousand, nine hundred six".