406 has 8 divisors (see below), whose sum is σ = 720. Its totient is φ = 168.

The previous prime is 401. The next prime is 409. The reversal of 406 is 604.

406 is nontrivially palindromic in base 8 and base 15.

406 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

406 is a nontrivial binomial coefficient, being equal to C(29, 2).

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

406 is an undulating number in base 8 and base 15.

406 is a modest number, since divided by 6 gives 4 as remainder.

It is a plaindrome in base 11 and base 12.

It is a nialpdrome in base 5 and base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 392 and 401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401) by changing a digit.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 28.

It is an arithmetic number, because the mean of its divisors is an integer number (90).

406 is the 28-th triangular number.

406 is the 10-th centered nonagonal number.

406 is a deficient number, since it is larger than the sum of its proper divisors (314).

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

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

The sum of its prime factors is 38.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 406 is about 20.1494416796. The cubic root of 406 is about 7.4047206305.

The spelling of 406 in words is "four hundred six", and thus it is an aban number.

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