29424 has 20 divisors (see below), whose sum is σ = 76136. Its totient is φ = 9792.

The previous prime is 29423. The next prime is 29429. The reversal of 29424 is 42492.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29424.

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 29424.

It is not an unprimeable number, because it can be changed into a prime (29423) 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, 259 + ... + 354.

2²⁹⁴²⁴ is an apocalyptic number.

29424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29424 is an abundant number, since it is smaller than the sum of its proper divisors (46712).

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 (38068).

29424 is a wasteful number, since it uses less digits than its factorization.

29424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 29424 is about 171.5342531391. The cubic root of 29424 is about 30.8721757048.

Subtracting from 29424 its sum of digits (21), we obtain a triangular number (29403 = T₂₄₂).

It can be divided in two parts, 294 and 24, that multiplied together give a square (7056 = 84²).

The spelling of 29424 in words is "twenty-nine thousand, four hundred twenty-four".