29406 has 24 divisors (see below), whose sum is σ = 65880. Its totient is φ = 8736.

The previous prime is 29401. The next prime is 29411. The reversal of 29406 is 60492.

It is an interprime number because it is at equal distance from previous prime (29401) and next prime (29411).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29406.

It is not an unprimeable number, because it can be changed into a prime (29401) by changing a digit.

29406 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 11 ways as a sum of consecutive naturals, for example, 1000 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (2745).

2²⁹⁴⁰⁶ is an apocalyptic number.

29406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32940).

29406 is an abundant number, since it is smaller than the sum of its proper divisors (36474).

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

29406 is a wasteful number, since it uses less digits than its factorization.

29406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

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

The square root of 29406 is about 171.4817774575. The cubic root of 29406 is about 30.8658791156.

Adding to 29406 its reverse (60492), we get a palindrome (89898).

It can be divided in two parts, 29 and 406, that added together give a triangular number (435 = T₂₉).

The spelling of 29406 in words is "twenty-nine thousand, four hundred six".