29440 has 36 divisors (see below), whose sum is σ = 73584. Its totient is φ = 11264.

The previous prime is 29437. The next prime is 29443. The reversal of 29440 is 4492.

It is an interprime number because it is at equal distance from previous prime (29437) and next prime (29443).

It is an Ulam number.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (29443) by changing a digit.

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, 1269 + ... + 1291.

It is an arithmetic number, because the mean of its divisors is an integer number (2044).

2²⁹⁴⁴⁰ is an apocalyptic number.

29440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36792).

29440 is an abundant number, since it is smaller than the sum of its proper divisors (44144).

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

29440 is an equidigital number, since it uses as much as digits as its factorization.

29440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 29440 is about 171.5808847162. The cubic root of 29440 is about 30.8777705174.

The spelling of 29440 in words is "twenty-nine thousand, four hundred forty".