29456 has 20 divisors (see below), whose sum is σ = 65472. Its totient is φ = 12576.

The previous prime is 29453. The next prime is 29473. The reversal of 29456 is 65492.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 14 and base 16.

It is not an unprimeable number, because it can be changed into a prime (29453) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 243.

2²⁹⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

29456 is an abundant number, since it is smaller than the sum of its proper divisors (36016).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32736).

29456 is a wasteful number, since it uses less digits than its factorization.

29456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 29456 is about 171.6275036234. The cubic root of 29456 is about 30.8833633034.

The spelling of 29456 in words is "twenty-nine thousand, four hundred fifty-six".