42406 has 16 divisors (see below), whose sum is σ = 78624. Its totient is φ = 16704.

The previous prime is 42403. The next prime is 42407. The reversal of 42406 is 60424.

42406 = T₇₈ + T₇₉ + ... + T₈₉.

42406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 42406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 298.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2⁴²⁴⁰⁶ is an apocalyptic number.

42406 is a deficient number, since it is larger than the sum of its proper divisors (36218).

42406 is a wasteful number, since it uses less digits than its factorization.

42406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255.

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42406 is about 205.9271715923. The cubic root of 42406 is about 34.8719127717.

The spelling of 42406 in words is "forty-two thousand, four hundred six".